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102011222220 = 223537131350771
BaseRepresentation
bin101111100000001010…
…1111011100011001100
3100202022100010000110120
41133000111323203030
53132404333102340
6114510250304540
710240635040065
oct1370025734314
9322270100416
10102011222220
113a298748126
121792b428150
1398093b5a6b
144d1a1db56c
1529c0ab74d0
hex17c057b8cc

102011222220 has 96 divisors (see below), whose sum is σ = 295591355136. Its totient is φ = 26265657600.

The previous prime is 102011222191. The next prime is 102011222249. The reversal of 102011222220 is 22222110201.

It is an interprime number because it is at equal distance from previous prime (102011222191) and next prime (102011222249).

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

It is a self number, because there is not a number n which added to its sum of digits gives 102011222220.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 115435 + ... + 466205.

It is an arithmetic number, because the mean of its divisors is an integer number (3079076616).

Almost surely, 2102011222220 is an apocalyptic number.

102011222220 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 102011222220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147795677568).

102011222220 is an abundant number, since it is smaller than the sum of its proper divisors (193580132916).

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

102011222220 is a wasteful number, since it uses less digits than its factorization.

102011222220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 350951 (or 350949 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

Adding to 102011222220 its reverse (22222110201), we get a palindrome (124233332421).

The spelling of 102011222220 in words is "one hundred two billion, eleven million, two hundred twenty-two thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 37 60 74 111 131 148 185 222 262 370 393 444 524 555 655 740 786 1110 1310 1572 1965 2220 2620 3930 4847 7860 9694 14541 19388 24235 29082 48470 58164 72705 96940 145410 290820 350771 701542 1052313 1403084 1753855 2104626 3507710 4209252 5261565 7015420 10523130 12978527 21046260 25957054 38935581 45951001 51914108 64892635 77871162 91902002 129785270 137853003 155742324 183804004 194677905 229755005 259570540 275706006 389355810 459510010 551412012 689265015 778711620 919020020 1378530030 1700187037 2757060060 3400374074 5100561111 6800748148 8500935185 10201122222 17001870370 20402244444 25502805555 34003740740 51005611110 102011222220