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1022001102133 = 113711327078209
BaseRepresentation
bin11101101111101000000…
…00110011110100110101
310121200222000101012210121
432313310000303310311
5113221024240232013
62101300102251541
7133560066014644
oct16676400636465
93550860335717
101022001102133
11364478a84630
121460a2126bb1
13754b341537b
14376723d335b
151b8b801158d
hexedf4033d35

1022001102133 has 32 divisors (see below), whose sum is σ = 1155743637120. Its totient is φ = 895541391360.

The previous prime is 1022001102107. The next prime is 1022001102211. The reversal of 1022001102133 is 3312011002201.

It is not a de Polignac number, because 1022001102133 - 225 = 1021967547701 is a prime.

It is a super-2 number, since 2×10220011021332 (a number of 25 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1022001102103) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 124493533 + ... + 124501741.

It is an arithmetic number, because the mean of its divisors is an integer number (36116988660).

Almost surely, 21022001102133 is an apocalyptic number.

It is an amenable number.

1022001102133 is a deficient number, since it is larger than the sum of its proper divisors (133742534987).

1022001102133 is a wasteful number, since it uses less digits than its factorization.

1022001102133 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11077.

The product of its (nonzero) digits is 72, while the sum is 16.

Adding to 1022001102133 its reverse (3312011002201), we get a palindrome (4334012104334).

The spelling of 1022001102133 in words is "one trillion, twenty-two billion, one million, one hundred two thousand, one hundred thirty-three".

Divisors: 1 11 37 113 407 1243 2707 4181 8209 29777 45991 90299 100159 303733 305891 927617 1101749 3341063 3364801 10203787 11317967 22221763 34321829 124497637 244439393 377540119 822205231 2511059219 9044257541 27621651409 92909191103 1022001102133