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102323014040 = 235132813072281
BaseRepresentation
bin101111101001011101…
…1010100100110011000
3100210010001210200102202
41133102323110212120
53134024142422130
6115001225145332
710251442161122
oct1372273244630
9323101720382
10102323014040
113a438745a15
12179b792b248
139858b81b70
144d497a0212
1529dd155145
hex17d2ed4998

102323014040 has 128 divisors (see below), whose sum is σ = 249738793920. Its totient is φ = 37507276800.

The previous prime is 102323014037. The next prime is 102323014061. The reversal of 102323014040 is 40410323201.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

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, 44857700 + ... + 44859980.

Almost surely, 2102323014040 is an apocalyptic number.

102323014040 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 102323014040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124869396960).

102323014040 is an abundant number, since it is smaller than the sum of its proper divisors (147415779880).

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

102323014040 is a wasteful number, since it uses less digits than its factorization.

102323014040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2893 (or 2889 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

Adding to 102323014040 its reverse (40410323201), we get a palindrome (142733337241).

The spelling of 102323014040 in words is "one hundred two billion, three hundred twenty-three million, fourteen thousand, forty".

Divisors: 1 2 4 5 8 10 13 20 26 40 52 65 104 130 260 281 307 520 562 614 1124 1228 1405 1535 2248 2281 2456 2810 3070 3653 3991 4562 5620 6140 7306 7982 9124 11240 11405 12280 14612 15964 18248 18265 19955 22810 29224 29653 31928 36530 39910 45620 59306 73060 79820 86267 91240 118612 146120 148265 159640 172534 237224 296530 345068 431335 593060 640961 690136 700267 862670 1121471 1186120 1281922 1400534 1725340 2242942 2563844 2801068 3204805 3450680 3501335 4485884 5127688 5602136 5607355 6409610 7002670 8332493 8971768 9103471 11214710 12819220 14005340 16664986 18206942 22429420 25638440 28010680 33329972 36413884 41662465 44858840 45517355 66659944 72827768 83324930 91034710 166649860 182069420 196775027 333299720 364138840 393550054 787100108 983875135 1574200216 1967750270 2558075351 3935500540 5116150702 7871001080 10232301404 12790376755 20464602808 25580753510 51161507020 102323014040