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1123181228928 = 27311436183829
BaseRepresentation
bin10000010110000010110…
…100010111001110000000
310222101010102122012200010
4100112002310113032000
5121400233343311203
62215552103424520
7144101322631233
oct20260264271600
93871112565603
101123181228928
113a337a582430
1216181b155140
1381bb957b795
143c51008d41a
151e33ab5d303
hex10582d17380

1123181228928 has 128 divisors (see below), whose sum is σ = 3330363484800. Its totient is φ = 332442593280.

The previous prime is 1123181228857. The next prime is 1123181228933. The reversal of 1123181228928 is 8298221813211.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (48).

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, 2910283 + ... + 3273546.

It is an arithmetic number, because the mean of its divisors is an integer number (26018464725).

Almost surely, 21123181228928 is an apocalyptic number.

It is an amenable number.

1123181228928 is an abundant number, since it is smaller than the sum of its proper divisors (2207182255872).

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

1123181228928 is a wasteful number, since it uses less digits than its factorization.

1123181228928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6183900 (or 6183888 counting only the distinct ones).

The product of its digits is 221184, while the sum is 48.

The spelling of 1123181228928 in words is "one trillion, one hundred twenty-three billion, one hundred eighty-one million, two hundred twenty-eight thousand, nine hundred twenty-eight".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 43 44 48 64 66 86 88 96 128 129 132 172 176 192 258 264 344 352 384 473 516 528 688 704 946 1032 1056 1376 1408 1419 1892 2064 2112 2752 2838 3784 4128 4224 5504 5676 7568 8256 11352 15136 16512 22704 30272 45408 60544 90816 181632 6183829 12367658 18551487 24735316 37102974 49470632 68022119 74205948 98941264 136044238 148411896 197882528 204066357 265904647 272088476 296823792 395765056 408132714 531809294 544176952 593647584 791530112 797713941 816265428 1063618588 1088353904 1187295168 1595427882 1632530856 2127237176 2176707808 2374590336 2924951117 3190855764 3265061712 4254474352 4353415616 5849902234 6381711528 6530123424 8508948704 8706831232 8774853351 11699804468 12763423056 13060246848 17017897408 17549706702 23399608936 25526846112 26120493696 34035794816 35099413404 46799217872 51053692224 70198826808 93598435744 102107384448 140397653616 187196871488 280795307232 374393742976 561590614464 1123181228928