Search a number
-
+
100201010021220 = 22355331509751579
BaseRepresentation
bin10110110010000111011101…
…100110111100001101100100
3111010210010022200010121102110
4112302013131212330031210
5101113143132031134340
6553035413013041020
730051166303135443
oct2662073546741544
9433703280117373
10100201010021220
1129a22011a16259
12b2a3763626170
1343babb77a06c4
141aa5a7d0ccd5a
15b8b6d1754680
hex5b21dd9bc364

100201010021220 has 48 divisors (see below), whose sum is σ = 285856466333760. Its totient is φ = 26216113312896.

The previous prime is 100201010021179. The next prime is 100201010021221. The reversal of 100201010021220 is 22120010102001.

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

It is a junction number, because it is equal to n+sod(n) for n = 100201010021196 and 100201010021205.

It is not an unprimeable number, because it can be changed into a prime (100201010021221) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 15754872610 + ... + 15754878969.

It is an arithmetic number, because the mean of its divisors is an integer number (5955343048620).

Almost surely, 2100201010021220 is an apocalyptic number.

100201010021220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100201010021220 is an abundant number, since it is smaller than the sum of its proper divisors (185655456312540).

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

100201010021220 is a wasteful number, since it uses less digits than its factorization.

100201010021220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31509751644 (or 31509751642 counting only the distinct ones).

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

Adding to 100201010021220 its reverse (22120010102001), we get a palindrome (122321020123221).

The spelling of 100201010021220 in words is "one hundred trillion, two hundred one billion, ten million, twenty-one thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 53 60 106 159 212 265 318 530 636 795 1060 1590 3180 31509751579 63019503158 94529254737 126039006316 157548757895 189058509474 315097515790 378117018948 472646273685 630195031580 945292547370 1670016833687 1890585094740 3340033667374 5010050501061 6680067334748 8350084168435 10020101002122 16700168336870 20040202004244 25050252505305 33400336673740 50100505010610 100201010021220