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102022211210010 = 235713371010020901
BaseRepresentation
bin10111001100100111100101…
…101010001000101100011010
3111101020020011022110202101120
4113030213211222020230122
5101333012442032210020
61000552205023030110
730326601333622530
oct2714474552105432
9441206138422346
10102022211210010
112a564416572873
12b53870813b336
1344c086520cb20
141b29c89502150
15bbdc726eb740
hex5cc9e5a88b1a

102022211210010 has 128 divisors (see below), whose sum is σ = 309502725041664. Its totient is φ = 20943793382400.

The previous prime is 102022211209991. The next prime is 102022211210027. The reversal of 102022211210010 is 10012112220201.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 504909441 + ... + 505111460.

It is an arithmetic number, because the mean of its divisors is an integer number (2417990039388).

Almost surely, 2102022211210010 is an apocalyptic number.

102022211210010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

102022211210010 is an abundant number, since it is smaller than the sum of its proper divisors (207480513831654).

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

102022211210010 is a wasteful number, since it uses less digits than its factorization.

102022211210010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1010020968.

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 102022211210010 its reverse (10012112220201), we get a palindrome (112034323430211).

The spelling of 102022211210010 in words is "one hundred two trillion, twenty-two billion, two hundred eleven million, two hundred ten thousand, ten".

Divisors: 1 2 3 5 6 7 10 13 14 15 21 26 30 35 37 39 42 65 70 74 78 91 105 111 130 182 185 195 210 222 259 273 370 390 455 481 518 546 555 777 910 962 1110 1295 1365 1443 1554 2405 2590 2730 2886 3367 3885 4810 6734 7215 7770 10101 14430 16835 20202 33670 50505 101010 1010020901 2020041802 3030062703 5050104505 6060125406 7070146307 10100209010 13130271713 14140292614 15150313515 21210438921 26260543426 30300627030 35350731535 37370773337 39390815139 42420877842 65651358565 70701463070 74741546674 78781630278 91911901991 106052194605 112112320011 131302717130 183823803982 186853866685 196954075695 212104389210 224224640022 261595413359 275735705973 373707733370 393908151390 459559509955 485820053381 523190826718 551471411946 560561600055 784786240077 919119019910 971640106762 1121123200110 1307977066795 1378678529865 1457460160143 1569572480154 2429100266905 2615954133590 2757357059730 2914920320286 3400740373667 3923931200385 4858200533810 6801480747334 7287300800715 7847862400770 10202221121001 14574601601430 17003701868335 20404442242002 34007403736670 51011105605005 102022211210010