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100220211210 = 23572516432957
BaseRepresentation
bin101110101010110010…
…1110001000000001010
3100120200112000020020110
41131111211301000022
53120222333224320
6114012430535150
710145356511460
oct1352545610012
9316615006213
10100220211210
1139559773039
121750b6674b6
1395b2322332
144bca3c4830
1529187375e0
hex175597100a

100220211210 has 128 divisors (see below), whose sum is σ = 276507592704. Its totient is φ = 22773024000.

The previous prime is 100220211199. The next prime is 100220211227. The reversal of 100220211210 is 12112022001.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 33891052 + ... + 33894008.

It is an arithmetic number, because the mean of its divisors is an integer number (2160215568).

Almost surely, 2100220211210 is an apocalyptic number.

100220211210 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 100220211210, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138253796352).

100220211210 is an abundant number, since it is smaller than the sum of its proper divisors (176287381494).

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

100220211210 is a wasteful number, since it uses less digits than its factorization.

100220211210 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3868.

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

Adding to 100220211210 its reverse (12112022001), we get a palindrome (112332233211).

The spelling of 100220211210 in words is "one hundred billion, two hundred twenty million, two hundred eleven thousand, two hundred ten".

Divisors: 1 2 3 5 6 7 10 14 15 21 30 35 42 70 105 210 251 502 643 753 1255 1286 1506 1757 1929 2510 2957 3215 3514 3765 3858 4501 5271 5914 6430 7530 8785 8871 9002 9645 10542 13503 14785 17570 17742 19290 20699 22505 26355 27006 29570 41398 44355 45010 52710 62097 67515 88710 103495 124194 135030 161393 206990 310485 322786 484179 620970 742207 806965 968358 1129751 1484414 1613930 1901351 2226621 2259502 2420895 3389253 3711035 3802702 4453242 4841790 5195449 5648755 5704053 6778506 7422070 9506755 10390898 11133105 11297510 11408106 13309457 15586347 16946265 19013510 22266210 25977245 26618914 28520265 31172694 33892530 39928371 51954490 57040530 66547285 77931735 79856742 133094570 155863470 199641855 399283710 477239101 954478202 1431717303 2386195505 2863434606 3340673707 4772391010 6681347414 7158586515 10022021121 14317173030 16703368535 20044042242 33406737070 50110105605 100220211210