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104201432120 = 235311071814339
BaseRepresentation
bin110000100001011100…
…0111010110000111000
3100221221222101012121202
41201002320322300320
53201401031311440
6115511450153332
710346131362512
oct1410270726070
9327858335552
10104201432120
1140211aa0255
1218240a22848
139a9809a256
14508704abb2
152a9ceed615
hex1842e3ac38

104201432120 has 128 divisors (see below), whose sum is σ = 245684275200. Its totient is φ = 39729139200.

The previous prime is 104201432039. The next prime is 104201432131. The reversal of 104201432120 is 21234102401.

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

It is a junction number, because it is equal to n+sod(n) for n = 104201432092 and 104201432101.

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, 24012911 + ... + 24017249.

It is an arithmetic number, because the mean of its divisors is an integer number (1919408400).

Almost surely, 2104201432120 is an apocalyptic number.

104201432120 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 104201432120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122842137600).

104201432120 is an abundant number, since it is smaller than the sum of its proper divisors (141482843080).

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

104201432120 is a wasteful number, since it uses less digits than its factorization.

104201432120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4669 (or 4665 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

Adding to 104201432120 its reverse (21234102401), we get a palindrome (125435534521).

The spelling of 104201432120 in words is "one hundred four billion, two hundred one million, four hundred thirty-two thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 20 31 40 62 107 124 155 181 214 248 310 362 428 535 620 724 856 905 1070 1240 1448 1810 2140 3317 3620 4280 4339 5611 6634 7240 8678 11222 13268 16585 17356 19367 21695 22444 26536 28055 33170 34712 38734 43390 44888 56110 66340 77468 86780 96835 112220 132680 134509 154936 173560 193670 224440 269018 387340 464273 538036 600377 672545 774680 785359 928546 1076072 1200754 1345090 1570718 1857092 2321365 2401508 2690180 3001885 3141436 3714184 3926795 4642730 4803016 5380360 6003770 6282872 7853590 9285460 12007540 14392463 15707180 18570920 24015080 24346129 28784926 31414360 48692258 57569852 71962315 84033413 97384516 115139704 121730645 143924630 168066826 194769032 243461290 287849260 336133652 420167065 486922580 575698520 672267304 840334130 973845160 1680668260 2605035803 3361336520 5210071606 10420143212 13025179015 20840286424 26050358030 52100716060 104201432120