Search a number
-
+
100122010212 = 223737257912491
BaseRepresentation
bin101110100111110111…
…1001010001001100100
3100120102200020002210110
41131033233022021210
53120022213311322
6113555002053020
710143055021260
oct1351757121144
9316380202713
10100122010212
11395092a0194
12174a27aa170
139597b8b633
144bbb3410a0
15290ecdac0c
hex174fbca264

100122010212 has 96 divisors (see below), whose sum is σ = 274336312320. Its totient is φ = 27820126080.

The previous prime is 100122010211. The next prime is 100122010231. The reversal of 100122010212 is 212010221001.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is not an unprimeable number, because it can be changed into a prime (100122010211) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8009287 + ... + 8021777.

It is an arithmetic number, because the mean of its divisors is an integer number (2857669920).

Almost surely, 2100122010212 is an apocalyptic number.

100122010212 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 100122010212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137168156160).

100122010212 is an abundant number, since it is smaller than the sum of its proper divisors (174214302108).

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

100122010212 is a wasteful number, since it uses less digits than its factorization.

100122010212 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15121 (or 15119 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 100122010212 its reverse (212010221001), we get a palindrome (312132231213).

The spelling of 100122010212 in words is "one hundred billion, one hundred twenty-two million, ten thousand, two hundred twelve".

Divisors: 1 2 3 4 6 7 12 14 21 28 37 42 74 84 111 148 222 259 444 518 777 1036 1554 2579 3108 5158 7737 10316 12491 15474 18053 24982 30948 36106 37473 49964 54159 72212 74946 87437 95423 108318 149892 174874 190846 216636 262311 286269 349748 381692 462167 524622 572538 667961 924334 1049244 1145076 1335922 1386501 1848668 2003883 2671844 2773002 3235169 4007766 5546004 6470338 8015532 9705507 12940676 19411014 32214289 38822028 64428578 96642867 128857156 193285734 225500023 386571468 451000046 676500069 902000092 1191928693 1353000138 2383857386 2706000276 3575786079 4767714772 7151572158 8343500851 14303144316 16687001702 25030502553 33374003404 50061005106 100122010212