Search a number
-
+
211211102101020 = 223574017712516703
BaseRepresentation
bin110000000001100001101010…
…101101101001111000011100
31000200211120202212010120212220
4300001201222231221320130
5210140440314114213040
62025113012451425340
762326333001663460
oct6001415255517034
91020746685116786
10211211102101020
116133114196825a
121b8321628b5250
1390b1176b27638
143a229599284a0
1519641436c92d0
hexc0186ab69e1c

211211102101020 has 96 divisors (see below), whose sum is σ = 675892403171328. Its totient is φ = 48275617876992.

The previous prime is 211211102101009. The next prime is 211211102101091. The reversal of 211211102101020 is 20101201112112.

It is a happy number.

It is a super-2 number, since 2×2112111021010202 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

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, 10615989 + ... + 23132691.

It is an arithmetic number, because the mean of its divisors is an integer number (7040545866368).

Almost surely, 2211211102101020 is an apocalyptic number.

211211102101020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

211211102101020 is an abundant number, since it is smaller than the sum of its proper divisors (464681301070308).

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

211211102101020 is a wasteful number, since it uses less digits than its factorization.

211211102101020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12556899 (or 12556897 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 15.

Adding to 211211102101020 its reverse (20101201112112), we get a palindrome (231312303213132).

The spelling of 211211102101020 in words is "two hundred eleven trillion, two hundred eleven billion, one hundred two million, one hundred one thousand, twenty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 28 30 35 42 60 70 84 105 140 210 420 40177 80354 120531 160708 200885 241062 281239 401770 482124 562478 602655 803540 843717 1124956 1205310 1406195 1687434 2410620 2812390 3374868 4218585 5624780 8437170 12516703 16874340 25033406 37550109 50066812 62583515 75100218 87616921 125167030 150200436 175233842 187750545 250334060 262850763 350467684 375501090 438084605 525701526 751002180 876169210 1051403052 1314253815 1752338420 2628507630 5257015260 502883576431 1005767152862 1508650729293 2011534305724 2514417882155 3017301458586 3520185035017 5028835764310 6034602917172 7040370070034 7543253646465 10057671528620 10560555105051 14080740140068 15086507292930 17600925175085 21121110210102 30173014585860 35201850350170 42242220420204 52802775525255 70403700700340 105605551050510 211211102101020