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101320012332 = 2232711191923749
BaseRepresentation
bin101111001011100100…
…1001011001000101100
3100200112011110220202100
41132113021023020230
53130000410343312
6114313515255100
710214542615650
oct1362711131054
9320464426670
10101320012332
1139a73561990
1217777a4a490
139729133626
144c924b0a60
15298007e5dc
hex179724b22c

101320012332 has 144 divisors (see below), whose sum is σ = 336117600000. Its totient is φ = 24931774080.

The previous prime is 101320012319. The next prime is 101320012357. The reversal of 101320012332 is 233210023101.

101320012332 is a `hidden beast` number, since 1 + 0 + 1 + 320 + 0 + 12 + 332 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 909207 + ... + 1014542.

It is an arithmetic number, because the mean of its divisors is an integer number (2334150000).

Almost surely, 2101320012332 is an apocalyptic number.

101320012332 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

101320012332 is an abundant number, since it is smaller than the sum of its proper divisors (234797587668).

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

101320012332 is a wasteful number, since it uses less digits than its factorization.

101320012332 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1923796 (or 1923791 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 101320012332 its reverse (233210023101), we get a palindrome (334530035433).

The spelling of 101320012332 in words is "one hundred one billion, three hundred twenty million, twelve thousand, three hundred thirty-two".

Divisors: 1 2 3 4 6 7 9 11 12 14 18 19 21 22 28 33 36 38 42 44 57 63 66 76 77 84 99 114 126 132 133 154 171 198 209 228 231 252 266 308 342 396 399 418 462 532 627 684 693 798 836 924 1197 1254 1386 1463 1596 1881 2394 2508 2772 2926 3762 4389 4788 5852 7524 8778 13167 17556 26334 52668 1923749 3847498 5771247 7694996 11542494 13466243 17313741 21161239 23084988 26932486 34627482 36551231 40398729 42322478 53864972 63483717 69254964 73102462 80797458 84644956 109653693 121196187 126967434 146204924 148128673 161594916 190451151 219307386 242392374 253934868 255858617 296257346 328961079 380902302 402063541 438614772 444386019 484784748 511717234 592514692 657922158 761804604 767575851 804127082 888772038 1023434468 1206190623 1315844316 1333158057 1535151702 1608254164 1777544076 2302727553 2412381246 2666316114 2814444787 3070303404 3618571869 4605455106 4824762492 5332632228 5628889574 7237143738 8443334361 9210910212 11257779148 14474287476 16886668722 25330003083 33773337444 50660006166 101320012332