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101223031212 = 2235106397967
BaseRepresentation
bin101111001000101011…
…1001110000110101100
3100200021101222202200000
41132101113032012230
53124301043444322
6114300132504300
710212254366112
oct1362127160654
9320241882600
10101223031212
1139a238425a6
121774b47b090
139712008c54
144c83667ab2
1529767c43ac
hex17915ce1ac

101223031212 has 72 divisors (see below), whose sum is σ = 265598301696. Its totient is φ = 33708925008.

The previous prime is 101223031207. The next prime is 101223031213. The reversal of 101223031212 is 212130322101.

It is a super-2 number, since 2×1012230312122 (a number of 23 digits) contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (101223031213) 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 23 ways as a sum of consecutive naturals, for example, 984253 + ... + 1082219.

Almost surely, 2101223031212 is an apocalyptic number.

101223031212 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 101223031212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132799150848).

101223031212 is an abundant number, since it is smaller than the sum of its proper divisors (164375270484).

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

101223031212 is a wasteful number, since it uses less digits than its factorization.

101223031212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 99049 (or 99035 counting only the distinct ones).

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

Adding to 101223031212 its reverse (212130322101), we get a palindrome (313353353313).

The spelling of 101223031212 in words is "one hundred one billion, two hundred twenty-three million, thirty-one thousand, two hundred twelve".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 108 162 243 324 486 972 1063 2126 3189 4252 6378 9567 12756 19134 28701 38268 57402 86103 97967 114804 172206 195934 258309 293901 344412 391868 516618 587802 881703 1033236 1175604 1763406 2645109 3526812 5290218 7935327 10580436 15870654 23805981 31741308 47611962 95223924 104138921 208277842 312416763 416555684 624833526 937250289 1249667052 1874500578 2811750867 3749001156 5623501734 8435252601 11247003468 16870505202 25305757803 33741010404 50611515606 101223031212