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100010212220 = 2251719121712721
BaseRepresentation
bin101110100100100010…
…0101011101101111100
3100120010212212011210002
41131021010223231330
53114310103242340
6113535525533432
710140226530512
oct1351104535574
9316125764702
10100010212220
1139461180756
1217471274278
13957a976a89
144baa55c4b2
1529050a5715
hex174912bb7c

100010212220 has 96 divisors (see below), whose sum is σ = 234290387520. Its totient is φ = 35637166080.

The previous prime is 100010212219. The next prime is 100010212273. The reversal of 100010212220 is 22212010001.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7855460 + ... + 7868180.

It is an arithmetic number, because the mean of its divisors is an integer number (2440524870).

Almost surely, 2100010212220 is an apocalyptic number.

100010212220 is a gapful number since it is divisible by the number (10) 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 100010212220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117145193760).

100010212220 is an abundant number, since it is smaller than the sum of its proper divisors (134280175300).

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

100010212220 is a wasteful number, since it uses less digits than its factorization.

100010212220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13983 (or 13981 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 11.

Adding to 100010212220 its reverse (22212010001), we get a palindrome (122222222221).

The spelling of 100010212220 in words is "one hundred billion, ten million, two hundred twelve thousand, two hundred twenty".

Divisors: 1 2 4 5 10 17 19 20 34 38 68 76 85 95 170 190 323 340 380 646 1217 1292 1615 2434 3230 4868 6085 6460 12170 12721 20689 23123 24340 25442 41378 46246 50884 63605 82756 92492 103445 115615 127210 206890 216257 231230 241699 254420 393091 413780 432514 462460 483398 786182 865028 966796 1081285 1208495 1572364 1965455 2162570 2416990 3930910 4108883 4325140 4833980 7861820 8217766 15481457 16435532 20544415 30962914 41088830 61925828 77407285 82177660 154814570 263184769 294147683 309629140 526369538 588295366 1052739076 1176590732 1315923845 1470738415 2631847690 2941476830 5000510611 5263695380 5882953660 10001021222 20002042444 25002553055 50005106110 100010212220