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102122021011020 = 223529199294928727
BaseRepresentation
bin10111001110000100100010…
…110010010011111001001100
3111101120202210020012222200020
4113032010202302103321030
5101341131344334323040
61001110113033302140
730340033611134163
oct2716044262237114
9441522706188606
10102122021011020
112a5a27845aa61a
12b553b22264950
1344ca0b04b738a
141b30a371b23da
15bc1664db5cd0
hex5ce122c93e4c

102122021011020 has 96 divisors (see below), whose sum is σ = 297288157824000. Its totient is φ = 26161357711104.

The previous prime is 102122021010953. The next prime is 102122021011051. The reversal of 102122021011020 is 20110120221201.

It is a super-2 number, since 2×1021220210110202 (a number of 29 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 147118104 + ... + 147810623.

It is an arithmetic number, because the mean of its divisors is an integer number (3096751644000).

Almost surely, 2102122021011020 is an apocalyptic number.

102122021011020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102122021011020 is an abundant number, since it is smaller than the sum of its proper divisors (195166136812980).

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

102122021011020 is a wasteful number, since it uses less digits than its factorization.

102122021011020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 294928967 (or 294928965 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 102122021011020 its reverse (20110120221201), we get a palindrome (122232141232221).

The spelling of 102122021011020 in words is "one hundred two trillion, one hundred twenty-two billion, twenty-one million, eleven thousand, twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 29 30 58 60 87 116 145 174 199 290 348 398 435 580 597 796 870 995 1194 1740 1990 2388 2985 3980 5771 5970 11542 11940 17313 23084 28855 34626 57710 69252 86565 115420 173130 346260 294928727 589857454 884786181 1179714908 1474643635 1769572362 2949287270 3539144724 4423930905 5898574540 8552933083 8847861810 17105866166 17695723620 25658799249 34211732332 42764665415 51317598498 58690816673 85529330830 102635196996 117381633346 128293996245 171058661660 176072450019 234763266692 256587992490 293454083365 352144900038 513175984980 586908166730 704289800076 880362250095 1173816333460 1702033683517 1760724500190 3404067367034 3521449000380 5106101050551 6808134734068 8510168417585 10212202101102 17020336835170 20424404202204 25530505252755 34040673670340 51061010505510 102122021011020