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10011123232 = 2511971012903
BaseRepresentation
bin10010101001011010…
…11001111000100000
3221211200200202022221
421110231121320200
5131000321420412
64333221040424
7503041100125
oct112455317040
927750622287
1010011123232
114278022070
121b34856114
13c370b3376
146ad81a74c
153d8d58b07
hex254b59e20

10011123232 has 96 divisors (see below), whose sum is σ = 21945458304. Its totient is φ = 4457472000.

The previous prime is 10011123197. The next prime is 10011123271. The reversal of 10011123232 is 23232111001.

It is a Harshad number since it is a multiple of its sum of digits (16).

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, 3447093 + ... + 3449995.

It is an arithmetic number, because the mean of its divisors is an integer number (228598524).

Almost surely, 210011123232 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10011123232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10972729152).

10011123232 is an abundant number, since it is smaller than the sum of its proper divisors (11934335072).

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

10011123232 is a wasteful number, since it uses less digits than its factorization.

10011123232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3122 (or 3114 counting only the distinct ones).

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

Adding to 10011123232 its reverse (23232111001), we get a palindrome (33243234233).

The spelling of 10011123232 in words is "ten billion, eleven million, one hundred twenty-three thousand, two hundred thirty-two".

Divisors: 1 2 4 8 11 16 22 32 44 88 97 101 176 194 202 352 388 404 776 808 1067 1111 1552 1616 2134 2222 2903 3104 3232 4268 4444 5806 8536 8888 9797 11612 17072 17776 19594 23224 31933 34144 35552 39188 46448 63866 78376 92896 107767 127732 156752 215534 255464 281591 293203 313504 431068 510928 563182 586406 862136 1021856 1126364 1172812 1724272 2252728 2345624 3097501 3225233 3448544 4505456 4691248 6195002 6450466 9010912 9382496 12390004 12900932 24780008 25801864 28440691 49560016 51603728 56881382 99120032 103207456 113762764 227525528 312847601 455051056 625695202 910102112 1251390404 2502780808 5005561616 10011123232