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101021200110 = 2345413119781
BaseRepresentation
bin101111000010101010…
…1010010111011101110
3100122202100012200110000
41132011111102323232
53123342411400420
6114224122525130
710204254014205
oct1360525227356
9318670180400
10101021200110
113992a919936
12176b39667a6
1396ac26036c
144c6492a23c
152963c07690
hex1785552eee

101021200110 has 160 divisors (see below), whose sum is σ = 279183288384. Its totient is φ = 26194752000.

The previous prime is 101021200097. The next prime is 101021200123. The reversal of 101021200110 is 11002120101.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (101021200097) and next prime (101021200123).

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 101021200092 and 101021200101.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 10323420 + ... + 10333200.

Almost surely, 2101021200110 is an apocalyptic number.

101021200110 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 101021200110, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139591644192).

101021200110 is an abundant number, since it is smaller than the sum of its proper divisors (178162088274).

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

101021200110 is a wasteful number, since it uses less digits than its factorization.

101021200110 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10152 (or 10143 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 101021200110 its reverse (11002120101), we get a palindrome (112023320211).

The spelling of 101021200110 in words is "one hundred one billion, twenty-one million, two hundred thousand, one hundred ten".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 41 45 54 81 82 90 123 135 162 205 246 270 311 369 405 410 615 622 738 810 933 1107 1230 1555 1845 1866 2214 2799 3110 3321 3690 4665 5535 5598 6642 8397 9330 9781 11070 12751 13995 16605 16794 19562 25191 25502 27990 29343 33210 38253 41985 48905 50382 58686 63755 76506 83970 88029 97810 114759 125955 127510 146715 176058 191265 229518 251910 264087 293430 344277 382530 401021 440145 528174 573795 688554 792261 802042 880290 1032831 1147590 1203063 1320435 1584522 1721385 2005105 2065662 2406126 2640870 3041891 3442770 3609189 3961305 4010210 5164155 6015315 6083782 7218378 7922610 9125673 10328310 10827567 12030630 15209455 18045945 18251346 21655134 27377019 30418910 32482701 36091890 45628365 54137835 54754038 64965402 82131057 91256730 108275670 124717531 136885095 162413505 164262114 246393171 249435062 273770190 324827010 374152593 410655285 492786342 623587655 748305186 821310570 1122457779 1231965855 1247175310 1870762965 2244915558 2463931710 3367373337 3741525930 5612288895 6734746674 10102120011 11224577790 16836866685 20204240022 33673733370 50510600055 101021200110