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101022313212 = 2235312133301
BaseRepresentation
bin101111000010101100…
…1100010101011111100
3100122202102022020100000
41132011121202223330
53123343203010322
6114224202434300
710204266331332
oct1360531425374
9318672266300
10101022313212
113993050a157
12176b4202990
1396ac55cbc2
144c64b39b52
152963d773ac
hex1785662afc

101022313212 has 72 divisors (see below), whose sum is σ = 264912614512. Its totient is φ = 33662304000.

The previous prime is 101022313199. The next prime is 101022313229. The reversal of 101022313212 is 212313220101.

101022313212 is a `hidden beast` number, since 10 + 102 + 231 + 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 an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3016962 + ... + 3050262.

Almost surely, 2101022313212 is an apocalyptic number.

101022313212 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

101022313212 is an abundant number, since it is smaller than the sum of its proper divisors (163890301300).

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

101022313212 is a wasteful number, since it uses less digits than its factorization.

101022313212 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36441 (or 36427 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 101022313212 its reverse (212313220101), we get a palindrome (313335533313).

The spelling of 101022313212 in words is "one hundred one billion, twenty-two million, three hundred thirteen thousand, two hundred twelve".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 108 162 243 324 486 972 3121 6242 9363 12484 18726 28089 33301 37452 56178 66602 84267 99903 112356 133204 168534 199806 252801 299709 337068 399612 505602 599418 758403 899127 1011204 1198836 1516806 1798254 2697381 3033612 3596508 5394762 8092143 10789524 16184286 32368572 103932421 207864842 311797263 415729684 623594526 935391789 1247189052 1870783578 2806175367 3741567156 5612350734 8418526101 11224701468 16837052202 25255578303 33674104404 50511156606 101022313212