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103020362048 = 2623536719709
BaseRepresentation
bin101111111110001111…
…1011111100101000000
3100211220122222122001202
41133330133133211000
53141441203041143
6115154335520332
710304640425522
oct1377437374500
9324818878052
10103020362048
113a76634388a
1217b713890a8
13993a4a3116
144db4247a12
152a2e4a1ab8
hex17fc7df940

103020362048 has 112 divisors (see below), whose sum is σ = 220599365760. Its totient is φ = 47617050624.

The previous prime is 103020362047. The next prime is 103020362057. The reversal of 103020362048 is 840263020301.

It is a super-2 number, since 2×1030203620482 (a number of 23 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 103020362048.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (103020362047) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5217218 + ... + 5236926.

Almost surely, 2103020362048 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 103020362048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110299682880).

103020362048 is an abundant number, since it is smaller than the sum of its proper divisors (117579003712).

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

103020362048 is a wasteful number, since it uses less digits than its factorization.

103020362048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19864 (or 19854 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 29.

Adding to 103020362048 its reverse (840263020301), we get a palindrome (943283382349).

The spelling of 103020362048 in words is "one hundred three billion, twenty million, three hundred sixty-two thousand, forty-eight".

Divisors: 1 2 4 8 16 23 32 46 53 64 67 92 106 134 184 212 268 368 424 536 736 848 1072 1219 1472 1541 1696 2144 2438 3082 3392 3551 4288 4876 6164 7102 9752 12328 14204 19504 19709 24656 28408 39008 39418 49312 56816 78016 78836 81673 98624 113632 157672 163346 227264 315344 326692 453307 630688 653384 906614 1044577 1261376 1306768 1320503 1813228 2089154 2613536 2641006 3626456 4178308 5227072 5282012 7252912 8356616 10564024 14505824 16713232 21128048 24025271 29011648 30371569 33426464 42256096 48050542 60743138 66852928 69986659 84512192 96101084 121486276 139973318 192202168 242972552 279946636 384404336 485945104 559893272 768808672 971890208 1119786544 1537617344 1609693157 1943780416 2239573088 3219386314 4479146176 6438772628 12877545256 25755090512 51510181024 103020362048