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102220022201120 = 25519160121002503
BaseRepresentation
bin10111001111011111110100…
…000111001011101100100000
3111101221010202002202021012122
4113033133310013023230200
5101344233101140413440
61001223121355043412
730350103304405445
oct2717376407135440
9441833662667178
10102220022201120
112a6302a473120a
12b56ab12740568
1345063cab78365
141b356929a79cc
15bc3e9d8c57b5
hex5cf7f41cbb20

102220022201120 has 96 divisors (see below), whose sum is σ = 254363846244480. Its totient is φ = 38711811686400.

The previous prime is 102220022201111. The next prime is 102220022201147. The reversal of 102220022201120 is 21102220022201.

It is a happy number.

It is a super-3 number, since 3×1022200222011203 (a number of 43 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5634212 + ... + 15368291.

It is an arithmetic number, because the mean of its divisors is an integer number (2649623398380).

Almost surely, 2102220022201120 is an apocalyptic number.

102220022201120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102220022201120 is an abundant number, since it is smaller than the sum of its proper divisors (152143824043360).

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

102220022201120 is a wasteful number, since it uses less digits than its factorization.

102220022201120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21004138 (or 21004130 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 17.

Adding to 102220022201120 its reverse (21102220022201), we get a palindrome (123322242223321).

The spelling of 102220022201120 in words is "one hundred two trillion, two hundred twenty billion, twenty-two million, two hundred one thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 19 20 32 38 40 76 80 95 152 160 190 304 380 608 760 1520 1601 3040 3202 6404 8005 12808 16010 25616 30419 32020 51232 60838 64040 121676 128080 152095 243352 256160 304190 486704 608380 973408 1216760 2433520 4867040 21002503 42005006 84010012 105012515 168020024 210025030 336040048 399047557 420050060 672080096 798095114 840100120 1596190228 1680200240 1995237785 3192380456 3360400480 3990475570 6384760912 7980951140 12769521824 15961902280 31923804560 33625007303 63847609120 67250014606 134500029212 168125036515 269000058424 336250073030 538000116848 638875138757 672500146060 1076000233696 1277750277514 1345000292120 2555500555028 2690000584240 3194375693785 5111001110056 5380001168480 6388751387570 10222002220112 12777502775140 20444004440224 25555005550280 51110011100560 102220022201120