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102202220122110 = 23356126212367553
BaseRepresentation
bin10111001111001111001111…
…000001101000111111111110
3111101212102210102222221202000
4113033033033001220333332
5101343440121322401420
61001211015102443130
730345603201261453
oct2717171701507776
9441772712887660
10102202220122110
112a623799941819
12b5675848934a6
1345048219549b4
141b3488457b82a
15bc37aaab5690
hex5cf3cf068ffe

102202220122110 has 128 divisors (see below), whose sum is σ = 277112914888320. Its totient is φ = 26796900556800.

The previous prime is 102202220122103. The next prime is 102202220122111. The reversal of 102202220122110 is 11221022202201.

It is a happy number.

102202220122110 is a `hidden beast` number, since 1 + 0 + 220 + 2 + 220 + 1 + 221 + 1 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102202220122111) 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, 41984094 + ... + 44351646.

It is an arithmetic number, because the mean of its divisors is an integer number (2164944647565).

Almost surely, 2102202220122110 is an apocalyptic number.

102202220122110 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 102202220122110, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138556457444160).

102202220122110 is an abundant number, since it is smaller than the sum of its proper divisors (174910694766210).

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

102202220122110 is a wasteful number, since it uses less digits than its factorization.

102202220122110 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2370251 (or 2370245 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 102202220122110 its reverse (11221022202201), we get a palindrome (113423242324311).

The spelling of 102202220122110 in words is "one hundred two trillion, two hundred two billion, two hundred twenty million, one hundred twenty-two thousand, one hundred ten".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 54 61 90 122 135 183 270 305 366 549 610 915 1098 1647 1830 2621 2745 3294 5242 5490 7863 8235 13105 15726 16470 23589 26210 39315 47178 70767 78630 117945 141534 159881 235890 319762 353835 479643 707670 799405 959286 1438929 1598810 2367553 2398215 2877858 4316787 4735106 4796430 7102659 7194645 8633574 11837765 14205318 14389290 21307977 21583935 23675530 35513295 42615954 43167870 63923931 71026590 106539885 127847862 144420733 213079770 288841466 319619655 433262199 639239310 722103665 866524398 1299786597 1444207330 2166310995 2599573194 3899359791 4332621990 6205356413 6498932985 7798719582 12410712826 12997865970 18616069239 19496798955 31026782065 37232138478 38993597910 55848207717 62053564130 93080346195 111696415434 167544623151 186160692390 279241038585 335089246302 378526741193 558482077170 757053482386 837723115755 1135580223579 1675446231510 1892633705965 2271160447158 3406740670737 3785267411930 5677901117895 6813481341474 10220222012211 11355802235790 17033703353685 20440444024422 34067406707370 51101110061055 102202220122110