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101020112113212 = 223261178021258407
BaseRepresentation
bin10110111110000010010011…
…111001011100111000111100
3111020200102120022020011102200
4112332002103321130320330
5101220103142200110322
6554503555425351500
730164314360060665
oct2676022371347074
9436612508204380
10101020112113212
112a208430776436
12b3b645b198590
13444a2040b1596
141ad35843a636c
15ba2b71a4a8ac
hex5be093e5ce3c

101020112113212 has 72 divisors (see below), whose sum is σ = 259545027242592. Its totient is φ = 33121034006400.

The previous prime is 101020112113211. The next prime is 101020112113237. The reversal of 101020112113212 is 212311211020101.

It is a happy number.

101020112113212 is a `hidden beast` number, since 10 + 10 + 201 + 121 + 1 + 321 + 2 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101020112113211) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 390804913 + ... + 391063319.

It is an arithmetic number, because the mean of its divisors is an integer number (3604792045036).

Almost surely, 2101020112113212 is an apocalyptic number.

101020112113212 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

101020112113212 is an abundant number, since it is smaller than the sum of its proper divisors (158524915129380).

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

101020112113212 is a wasteful number, since it uses less digits than its factorization.

101020112113212 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 436499 (or 436494 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 18.

Adding to 101020112113212 its reverse (212311211020101), we get a palindrome (313331323133313).

The spelling of 101020112113212 in words is "one hundred one trillion, twenty billion, one hundred twelve million, one hundred thirteen thousand, two hundred twelve".

Divisors: 1 2 3 4 6 9 12 18 36 61 122 183 244 366 549 732 1098 2196 178021 258407 356042 516814 534063 712084 775221 1033628 1068126 1550442 1602189 2136252 2325663 3100884 3204378 4651326 6408756 9302652 10859281 15762827 21718562 31525654 32577843 43437124 47288481 63051308 65155686 94576962 97733529 130311372 141865443 189153924 195467058 283730886 390934116 567461772 46001872547 92003745094 138005617641 184007490188 276011235282 414016852923 552022470564 828033705846 1656067411692 2806114225367 5612228450734 8418342676101 11224456901468 16836685352202 25255028028303 33673370704404 50510056056606 101020112113212