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103034652136 = 231331374121067
BaseRepresentation
bin101111111110101011…
…0000000010111101000
3100211221122212122101021
41133331112000113220
53142003332332021
6115200010102224
710305203043553
oct1377526002750
9324848778337
10103034652136
113a773414179
1217b7611a974
1399404375b0
144db60c769a
152a30875c41
hex17fd5805e8

103034652136 has 128 divisors (see below), whose sum is σ = 225956828160. Its totient is φ = 43682457600.

The previous prime is 103034652107. The next prime is 103034652163. The reversal of 103034652136 is 631256430301.

It is a super-2 number, since 2×1030346521362 (a number of 23 digits) contains 22 as substring.

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, 4880275 + ... + 4901341.

It is an arithmetic number, because the mean of its divisors is an integer number (1765287720).

Almost surely, 2103034652136 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 103034652136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112978414080).

103034652136 is an abundant number, since it is smaller than the sum of its proper divisors (122922176024).

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

103034652136 is a wasteful number, since it uses less digits than its factorization.

103034652136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21195 (or 21191 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 34.

The spelling of 103034652136 in words is "one hundred three billion, thirty-four million, six hundred fifty-two thousand, one hundred thirty-six".

Divisors: 1 2 4 8 13 26 31 37 41 52 62 74 82 104 124 148 164 248 296 328 403 481 533 806 962 1066 1147 1271 1517 1612 1924 2132 2294 2542 3034 3224 3848 4264 4588 5084 6068 9176 10168 12136 14911 16523 19721 21067 29822 33046 39442 42134 47027 59644 66092 78884 84268 94054 119288 132184 157768 168536 188108 273871 376216 547742 611351 653077 779479 863747 1095484 1222702 1306154 1558958 1727494 2190968 2445404 2612308 3117916 3454988 4890808 5224616 6235832 6909976 8490001 10133227 11228711 16980002 20266454 22457422 24163849 26776157 31958639 33960004 40532908 44914844 48327698 53552314 63917278 67920008 81065816 89829688 96655396 107104628 127834556 193310792 214209256 255669112 314130037 348090041 415462307 628260074 696180082 830924614 990717809 1256520148 1392360164 1661849228 1981435618 2513040296 2784720328 3323698456 3962871236 7925742472 12879331517 25758663034 51517326068 103034652136