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100221032100 = 22352767712303
BaseRepresentation
bin101110101010110100…
…0111001011010100100
3100120200120112221021210
41131111220321122210
53120223041011400
6114012500311420
710145366500650
oct1352550713244
9316616487253
10100221032100
113955a183862
121750b9a2570
1395b254bb77
144bca559a60
15291884a950
hex1755a396a4

100221032100 has 144 divisors (see below), whose sum is σ = 336344250368. Its totient is φ = 22565727360.

The previous prime is 100221032081. The next prime is 100221032101. The reversal of 100221032100 is 1230122001.

100221032100 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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 (100221032101) 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 47 ways as a sum of consecutive naturals, for example, 215452 + ... + 496851.

Almost surely, 2100221032100 is an apocalyptic number.

100221032100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100221032100 is an abundant number, since it is smaller than the sum of its proper divisors (236123218268).

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

100221032100 is a wasteful number, since it uses less digits than its factorization.

100221032100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 712394 (or 712387 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

Adding to 100221032100 its reverse (1230122001), we get a palindrome (101451154101).

The spelling of 100221032100 in words is "one hundred billion, two hundred twenty-one million, thirty-two thousand, one hundred".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 25 28 30 35 42 50 60 67 70 75 84 100 105 134 140 150 175 201 210 268 300 335 350 402 420 469 525 670 700 804 938 1005 1050 1340 1407 1675 1876 2010 2100 2345 2814 3350 4020 4690 5025 5628 6700 7035 9380 10050 11725 14070 20100 23450 28140 35175 46900 70350 140700 712303 1424606 2136909 2849212 3561515 4273818 4986121 7123030 8547636 9972242 10684545 14246060 14958363 17807575 19944484 21369090 24930605 29916726 35615150 42738180 47724301 49861210 53422725 59833452 71230300 74791815 95448602 99722420 106845450 124653025 143172903 149583630 190897204 213690900 238621505 249306050 286345806 299167260 334070107 373959075 477243010 498612100 572691612 668140214 715864515 747918150 954486020 1002210321 1193107525 1336280428 1431729030 1495836300 1670350535 2004420642 2386215050 2863458060 3340701070 3579322575 4008841284 4772430100 5011051605 6681402140 7158645150 8351752675 10022103210 14317290300 16703505350 20044206420 25055258025 33407010700 50110516050 100221032100