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102211133220 = 223257372192431
BaseRepresentation
bin101111100110001000…
…0100001111100100100
3100202211021021112210200
41133030100201330210
53133312022230340
6114542151150500
710245613204020
oct1371420417444
9322737245720
10102211133220
113a39057a229
1217986375430
13983b93b6b1
144d38999380
1529d3405330
hex17cc421f24

102211133220 has 144 divisors (see below), whose sum is σ = 363908633088. Its totient is φ = 22731114240.

The previous prime is 102211133207. The next prime is 102211133243. The reversal of 102211133220 is 22331112201.

102211133220 is a `hidden beast` number, since 10 + 221 + 113 + 322 + 0 = 666.

102211133220 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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

It is a junction number, because it is equal to n+sod(n) for n = 102211133193 and 102211133202.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1049596 + ... + 1142835.

Almost surely, 2102211133220 is an apocalyptic number.

102211133220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102211133220 is an abundant number, since it is smaller than the sum of its proper divisors (261697499868).

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

102211133220 is a wasteful number, since it uses less digits than its factorization.

102211133220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2192490 (or 2192485 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 102211133220 its reverse (22331112201), we get a palindrome (124542245421).

The spelling of 102211133220 in words is "one hundred two billion, two hundred eleven million, one hundred thirty-three thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 7 9 10 12 14 15 18 20 21 28 30 35 36 37 42 45 60 63 70 74 84 90 105 111 126 140 148 180 185 210 222 252 259 315 333 370 420 444 518 555 630 666 740 777 1036 1110 1260 1295 1332 1554 1665 2220 2331 2590 3108 3330 3885 4662 5180 6660 7770 9324 11655 15540 23310 46620 2192431 4384862 6577293 8769724 10962155 13154586 15347017 19731879 21924310 26309172 30694034 32886465 39463758 43848620 46041051 61388068 65772930 76735085 78927516 81119947 92082102 98659395 131545860 138123153 153470170 162239894 184164204 197318790 230205255 243359841 276246306 306940340 324479788 394637580 405599735 460410510 486719682 552492612 567839629 690615765 730079523 811199470 920821020 973439364 1135679258 1216799205 1381231530 1460159046 1622398940 1703518887 2271358516 2433598410 2762463060 2839198145 2920318092 3407037774 3650397615 4867196820 5110556661 5678396290 6814075548 7300795230 8517594435 10221113322 11356792580 14601590460 17035188870 20442226644 25552783305 34070377740 51105566610 102211133220