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1120313322320 = 24573193993961
BaseRepresentation
bin10000010011010111111…
…000001010101101010000
310222002201120011110101212
4100103113320022231100
5121323400202303240
62214355334315252
7143640260055413
oct20232770125520
93862646143355
101120313322320
113a2138733785
1216115a7b8b28
138185036681a
143c31b22db7a
151e21dead165
hex104d7e0ab50

1120313322320 has 80 divisors (see below), whose sum is σ = 2654093235792. Its totient is φ = 439696097280.

The previous prime is 1120313322283. The next prime is 1120313322347. The reversal of 1120313322320 is 232233130211.

It can be written as a sum of positive squares in 8 ways, for example, as 3131969296 + 1117181353024 = 55964^2 + 1056968^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 630140 + ... + 1624100.

Almost surely, 21120313322320 is an apocalyptic number.

1120313322320 is a gapful number since it is divisible by the number (10) 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 1120313322320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1327046617896).

1120313322320 is an abundant number, since it is smaller than the sum of its proper divisors (1533779913472).

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

1120313322320 is a wasteful number, since it uses less digits than its factorization.

1120313322320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 994240 (or 994234 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 23.

Adding to 1120313322320 its reverse (232233130211), we get a palindrome (1352546452531).

The spelling of 1120313322320 in words is "one trillion, one hundred twenty billion, three hundred thirteen million, three hundred twenty-two thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 73 80 146 193 292 365 386 584 730 772 965 1168 1460 1544 1930 2920 3088 3860 5840 7720 14089 15440 28178 56356 70445 112712 140890 225424 281780 563560 993961 1127120 1987922 3975844 4969805 7951688 9939610 15903376 19879220 39758440 72559153 79516880 145118306 191834473 290236612 362795765 383668946 580473224 725591530 767337892 959172365 1160946448 1451183060 1534675784 1918344730 2902366120 3069351568 3836689460 5804732240 7673378920 14003916529 15346757840 28007833058 56015666116 70019582645 112031332232 140039165290 224062664464 280078330580 560156661160 1120313322320