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1111101010096 = 247112723711329
BaseRepresentation
bin10000001010110010110…
…001111111000010110000
310221012221112120111202211
4100022302301333002300
5121201013324310341
62210233250421504
7143163055520320
oct20126261770260
93835845514684
101111101010096
11399240610200
1215b409591894
1380a1290b0bc
143bac594d280
151dd80344181
hex102b2c7f0b0

1111101010096 has 120 divisors (see below), whose sum is σ = 2704903715360. Its totient is φ = 432798474240.

The previous prime is 1111101010069. The next prime is 1111101010109. The reversal of 1111101010096 is 6900101011111.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 98070160 + ... + 98081488.

Almost surely, 21111101010096 is an apocalyptic number.

1111101010096 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1111101010096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1352451857680).

1111101010096 is an abundant number, since it is smaller than the sum of its proper divisors (1593802705264).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1111101010096 is a wasteful number, since it uses less digits than its factorization.

1111101010096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18603 (or 18586 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 22.

The spelling of 1111101010096 in words is "one trillion, one hundred eleven billion, one hundred one million, ten thousand, ninety-six".

Divisors: 1 2 4 7 8 11 14 16 22 28 44 56 77 88 112 121 154 176 242 308 484 616 847 968 1232 1694 1936 3388 6776 7237 11329 13552 14474 22658 28948 45316 50659 57896 79303 79607 90632 101318 115792 124619 158606 159214 181264 202636 249238 317212 318428 405272 498476 557249 634424 636856 810544 872333 875677 996952 1114498 1268848 1273712 1370809 1744666 1751354 1993904 2228996 2741618 3489332 3502708 4457992 5483236 6129739 6978664 7005416 8915984 9595663 10966472 12259478 13957328 14010832 19191326 21932944 24518956 38382652 49037912 76765304 81987973 98075824 153530608 163975946 327951892 573915811 655903784 901867703 1147831622 1311807568 1803735406 2295663244 3607470812 4591326488 6313073921 7214941624 9182652976 9920544733 12626147842 14429883248 19841089466 25252295684 39682178932 50504591368 69443813131 79364357864 101009182736 138887626262 158728715728 277775252524 555550505048 1111101010096