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102000000221200 = 2452438536952207
BaseRepresentation
bin10111001100010010111001…
…110001111100000000010000
3111101011002211101120121200101
4113030102321301330000100
5101332132000024034300
61000534053032302144
730325154043421234
oct2714227161740020
9441132741517611
10102000000221200
112a555a58a99174
12b534349841954
1344bb735756bb3
141b28b7d71c5c4
15bbd3c27e2b6a
hex5cc4b9c7c010

102000000221200 has 120 divisors (see below), whose sum is σ = 251047957263488. Its totient is φ = 39804438320640.

The previous prime is 102000000221131. The next prime is 102000000221209. The reversal of 102000000221200 is 2122000000201.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is not an unprimeable number, because it can be changed into a prime (102000000221209) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 11195497 + ... + 18147703.

Almost surely, 2102000000221200 is an apocalyptic number.

102000000221200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 102000000221200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125523978631744).

102000000221200 is an abundant number, since it is smaller than the sum of its proper divisors (149047957042288).

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

102000000221200 is a wasteful number, since it uses less digits than its factorization.

102000000221200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6953121 (or 6953110 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 10.

Adding to 102000000221200 its reverse (2122000000201), we get a palindrome (104122000221401).

The spelling of 102000000221200 in words is "one hundred two trillion, two hundred twenty-one thousand, two hundred".

Divisors: 1 2 4 5 8 10 16 20 25 40 43 50 80 86 100 172 200 215 344 400 430 688 853 860 1075 1706 1720 2150 3412 3440 4265 4300 6824 8530 8600 13648 17060 17200 21325 34120 36679 42650 68240 73358 85300 146716 170600 183395 293432 341200 366790 586864 733580 916975 1467160 1833950 2934320 3667900 6952207 7335800 13904414 14671600 27808828 34761035 55617656 69522070 111235312 139044140 173805175 278088280 298944901 347610350 556176560 597889802 695220700 1195779604 1390441400 1494724505 2391559208 2780882800 2989449010 4783118416 5930232571 5978898020 7473622525 11860465142 11957796040 14947245050 23720930284 23915592080 29651162855 29894490100 47441860568 59302325710 59788980200 94883721136 118604651420 119577960400 148255814275 237209302840 255000000553 296511628550 474418605680 510000001106 593023257100 1020000002212 1186046514200 1275000002765 2040000004424 2372093028400 2550000005530 4080000008848 5100000011060 6375000013825 10200000022120 12750000027650 20400000044240 25500000055300 51000000110600 102000000221200