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99111001232 = 24173161233827
BaseRepresentation
bin101110001001101111…
…0011101110010010000
3100110211012211112012102
41130103132131302100
53110434404014412
6113310404415532
710106030416235
oct1342336356220
9313735745172
1099111001232
113903a638181
12172600a75a8
139466598579
144b22d6978c
1528a11828c2
hex171379dc90

99111001232 has 160 divisors (see below), whose sum is σ = 214497414144. Its totient is φ = 44152012800.

The previous prime is 99111001207. The next prime is 99111001237. The reversal of 99111001232 is 23210011199.

It is a junction number, because it is equal to n+sod(n) for n = 99111001195 and 99111001204.

It is not an unprimeable number, because it can be changed into a prime (99111001237) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 119843603 + ... + 119844429.

Almost surely, 299111001232 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 99111001232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107248707072).

99111001232 is an abundant number, since it is smaller than the sum of its proper divisors (115386412912).

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

99111001232 is a wasteful number, since it uses less digits than its factorization.

99111001232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1177 (or 1171 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 29.

The spelling of 99111001232 in words is "ninety-nine billion, one hundred eleven million, one thousand, two hundred thirty-two".

Divisors: 1 2 4 8 16 17 31 34 61 62 68 122 124 136 233 244 248 272 466 488 496 527 827 932 976 1037 1054 1654 1864 1891 2074 2108 3308 3728 3782 3961 4148 4216 6616 7223 7564 7922 8296 8432 13232 14059 14213 14446 15128 15844 16592 25637 28118 28426 28892 30256 31688 32147 50447 51274 56236 56852 57784 63376 64294 100894 102548 112472 113704 115568 122791 128588 192691 201788 205096 224944 227408 241621 245582 257176 385382 403576 410192 435829 440603 483242 491164 514352 770764 807152 857599 871658 881206 966484 982328 1541528 1563857 1715198 1743316 1762412 1932968 1964656 3083056 3127714 3275747 3430396 3486632 3524824 3865936 5973421 6255428 6551494 6860792 6973264 7049648 7490251 11754151 11946842 12510856 13102988 13721584 14980502 23508302 23893684 25021712 26205976 26585569 29961004 47016604 47787368 52411952 53171138 59922008 94033208 95574736 101548157 106342276 119844016 188066416 199820567 203096314 212684552 364378681 399641134 406192628 425369104 728757362 799282268 812385256 1457514724 1598564536 1624770512 2915029448 3197129072 5830058896 6194437577 12388875154 24777750308 49555500616 99111001232