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102862554340 = 225713229246803
BaseRepresentation
bin101111111001100010…
…1100000010011100100
3100211111200001011120211
41133303011200103210
53141130303214330
6115130541305204
710301013166660
oct1376305402344
9324450034524
10102862554340
113a695259597
1217b28565204
13991389c490
144d9b2c98a0
152a206cdd2a
hex17f31604e4

102862554340 has 96 divisors (see below), whose sum is σ = 267022183680. Its totient is φ = 32412013056.

The previous prime is 102862554337. The next prime is 102862554391. The reversal of 102862554340 is 43455268201.

It is a junction number, because it is equal to n+sod(n) for n = 102862554293 and 102862554302.

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, 293379 + ... + 540181.

It is an arithmetic number, because the mean of its divisors is an integer number (2781481080).

Almost surely, 2102862554340 is an apocalyptic number.

102862554340 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 102862554340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133511091840).

102862554340 is an abundant number, since it is smaller than the sum of its proper divisors (164159629340).

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

102862554340 is a wasteful number, since it uses less digits than its factorization.

102862554340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 247061 (or 247059 counting only the distinct ones).

The product of its (nonzero) digits is 230400, while the sum is 40.

The spelling of 102862554340 in words is "one hundred two billion, eight hundred sixty-two million, five hundred fifty-four thousand, three hundred forty".

Divisors: 1 2 4 5 7 10 13 14 20 26 28 35 52 65 70 91 130 140 182 229 260 364 455 458 910 916 1145 1603 1820 2290 2977 3206 4580 5954 6412 8015 11908 14885 16030 20839 29770 32060 41678 59540 83356 104195 208390 246803 416780 493606 987212 1234015 1727621 2468030 3208439 3455242 4936060 6416878 6910484 8638105 12833756 16042195 17276210 22459073 32084390 34552420 44918146 56517887 64168780 89836292 112295365 113035774 224590730 226071548 282589435 395625209 449181460 565178870 734732531 791250418 1130357740 1469465062 1582500836 1978126045 2938930124 3673662655 3956252090 5143127717 7347325310 7912504180 10286255434 14694650620 20572510868 25715638585 51431277170 102862554340