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100112101210 = 251117531636197
BaseRepresentation
bin101110100111100100…
…1010110111101011010
3100120101222120200012101
41131033021112331122
53120012144214320
6113554005434014
710142604551122
oct1351711267532
9316358520171
10100112101210
1139503742430
121749b40b90a
139595acc314
144bb9cc1c82
15290decec0a
hex174f256f5a

100112101210 has 128 divisors (see below), whose sum is σ = 213410329344. Its totient is φ = 33404866560.

The previous prime is 100112101169. The next prime is 100112101213. The reversal of 100112101210 is 12101211001.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is not an unprimeable number, because it can be changed into a prime (100112101213) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 16151832 + ... + 16158028.

It is an arithmetic number, because the mean of its divisors is an integer number (1667268198).

Almost surely, 2100112101210 is an apocalyptic number.

100112101210 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

100112101210 is an abundant number, since it is smaller than the sum of its proper divisors (113298228134).

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

100112101210 is a wasteful number, since it uses less digits than its factorization.

100112101210 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6448.

The product of its (nonzero) digits is 4, while the sum is 10.

Adding to 100112101210 its reverse (12101211001), we get a palindrome (112213312211).

The spelling of 100112101210 in words is "one hundred billion, one hundred twelve million, one hundred one thousand, two hundred ten".

Divisors: 1 2 5 10 11 17 22 34 53 55 85 106 110 163 170 187 265 326 374 530 583 815 901 935 1166 1630 1793 1802 1870 2771 2915 3586 4505 5542 5830 6197 8639 8965 9010 9911 12394 13855 17278 17930 19822 27710 30481 30985 43195 49555 60962 61970 68167 86390 95029 99110 105349 136334 146863 152405 190058 210698 293726 304810 328441 340835 475145 526745 656882 681670 734315 950290 1010111 1053490 1158839 1468630 1615493 1642205 2020222 2317678 3230986 3284410 3612851 5050555 5583497 5794195 7225702 8077465 10101110 11111221 11166994 11588390 16154930 17171887 18064255 22222442 27917485 34343774 36128510 53535883 55556105 55834970 61418467 85859435 107071766 111112210 122836934 171718870 188890757 267679415 307092335 377781514 535358830 588894713 614184670 910110011 944453785 1177789426 1820220022 1888907570 2944473565 4550550055 5888947130 9101100110 10011210121 20022420242 50056050605 100112101210