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101203212210 = 23517533979431
BaseRepresentation
bin101111001000000101…
…1100111011110110010
3100200020000200212002220
41132100023213132302
53124231010242320
6114254144021510
710211624052552
oct1362013473662
9320200625086
10101203212210
1139a13636261
1217744901896
13970ab8a029
144c80b89162
152974babe40
hex17902e77b2

101203212210 has 128 divisors (see below), whose sum is σ = 262715457024. Its totient is φ = 24855367680.

The previous prime is 101203212167. The next prime is 101203212211. The reversal of 101203212210 is 12212302101.

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

It is a self number, because there is not a number n which added to its sum of digits gives 101203212210.

It is not an unprimeable number, because it can be changed into a prime (101203212211) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 10726195 + ... + 10735625.

It is an arithmetic number, because the mean of its divisors is an integer number (2052464508).

Almost surely, 2101203212210 is an apocalyptic number.

101203212210 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 101203212210, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131357728512).

101203212210 is an abundant number, since it is smaller than the sum of its proper divisors (161512244814).

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

101203212210 is a wasteful number, since it uses less digits than its factorization.

101203212210 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9908.

The product of its (nonzero) digits is 48, while the sum is 15.

Adding to 101203212210 its reverse (12212302101), we get a palindrome (113415514311).

The spelling of 101203212210 in words is "one hundred one billion, two hundred three million, two hundred twelve thousand, two hundred ten".

Divisors: 1 2 3 5 6 10 15 17 30 34 51 53 85 102 106 159 170 255 265 318 397 510 530 794 795 901 1191 1590 1802 1985 2382 2703 3970 4505 5406 5955 6749 9010 9431 11910 13498 13515 18862 20247 21041 27030 28293 33745 40494 42082 47155 56586 63123 67490 94310 101235 105205 126246 141465 160327 202470 210410 282930 315615 320654 357697 480981 499843 631230 715394 801635 961962 999686 1073091 1499529 1603270 1788485 2146182 2404905 2499215 2999058 3576970 3744107 4809810 4998430 5365455 7488214 7497645 8497331 10730910 11232321 14995290 16994662 18720535 22464642 25491993 37441070 42486655 50983986 56161605 63649819 84973310 112323210 127299638 127459965 190949457 198437671 254919930 318249095 381898914 396875342 595313013 636498190 954747285 992188355 1190626026 1909494570 1984376710 2976565065 3373440407 5953130130 6746880814 10120321221 16867202035 20240642442 33734404070 50601606105 101203212210