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103040601336 = 23331929865771
BaseRepresentation
bin101111111110110110…
…0101100110011111000
3100211222002001220011000
41133331230230303320
53142011343220321
6115200341405000
710305304442301
oct1377554546370
9324862056130
10103040601336
113a776807972
1217b78109760
13994173b42a
144db6bd57a8
152a3114d826
hex17fdb2ccf8

103040601336 has 128 divisors (see below), whose sum is σ = 311677920000. Its totient is φ = 31417061760.

The previous prime is 103040601319. The next prime is 103040601343. The reversal of 103040601336 is 633106040301.

103040601336 is a `hidden beast` number, since 10 + 3 + 0 + 40 + 601 + 3 + 3 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

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, 313870 + ... + 551901.

It is an arithmetic number, because the mean of its divisors is an integer number (2434983750).

Almost surely, 2103040601336 is an apocalyptic number.

It is an amenable number.

103040601336 is an abundant number, since it is smaller than the sum of its proper divisors (208637318664).

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

103040601336 is a wasteful number, since it uses less digits than its factorization.

103040601336 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 865834 (or 865824 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 27.

Adding to 103040601336 its reverse (633106040301), we get a palindrome (736146641637).

The spelling of 103040601336 in words is "one hundred three billion, forty million, six hundred one thousand, three hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 18 19 24 27 29 36 38 54 57 58 72 76 87 108 114 116 152 171 174 216 228 232 261 342 348 456 513 522 551 684 696 783 1026 1044 1102 1368 1566 1653 2052 2088 2204 3132 3306 4104 4408 4959 6264 6612 9918 13224 14877 19836 29754 39672 59508 119016 865771 1731542 2597313 3463084 5194626 6926168 7791939 10389252 15583878 16449649 20778504 23375817 25107359 31167756 32899298 46751634 49348947 50214718 62335512 65798596 75322077 93503268 98697894 100429436 131597192 148046841 150644154 187006536 197395788 200858872 225966231 296093682 301288308 394791576 444140523 451932462 477039821 592187364 602576616 677898693 888281046 903864924 954079642 1184374728 1355797386 1431119463 1776562092 1807729848 1908159284 2711594772 2862238926 3553124184 3816318568 4293358389 5423189544 5724477852 8586716778 11448955704 12880075167 17173433556 25760150334 34346867112 51520300668 103040601336