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103415206312 = 231137239132893
BaseRepresentation
bin110000001010000000…
…1101101000110101000
3100212221011221210120101
41200110001231012220
53143243243100222
6115301442435144
710320503515135
oct1402401550650
9325834853511
10103415206312
113a949208160
1218061662ab4
1399a122aa92
14501086958c
152a53e97927
hex181406d1a8

103415206312 has 64 divisors (see below), whose sum is σ = 218158790400. Its totient is φ = 45544746240.

The previous prime is 103415206309. The next prime is 103415206319. The reversal of 103415206312 is 213602514301.

It is not an unprimeable number, because it can be changed into a prime (103415206319) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 711738 + ... + 844630.

It is an arithmetic number, because the mean of its divisors is an integer number (3408731100).

Almost surely, 2103415206312 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 103415206312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109079395200).

103415206312 is an abundant number, since it is smaller than the sum of its proper divisors (114743584088).

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

103415206312 is a wasteful number, since it uses less digits than its factorization.

103415206312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 133186 (or 133182 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 28.

The spelling of 103415206312 in words is "one hundred three billion, four hundred fifteen million, two hundred six thousand, three hundred twelve".

Divisors: 1 2 4 8 11 22 37 44 74 88 148 239 296 407 478 814 956 1628 1912 2629 3256 5258 8843 10516 17686 21032 35372 70744 97273 132893 194546 265786 389092 531572 778184 1063144 1461823 2923646 4917041 5847292 9834082 11694584 19668164 31761427 39336328 54087451 63522854 108174902 127045708 216349804 254091416 349375697 432699608 698751394 1175172799 1397502788 2350345598 2795005576 4700691196 9401382392 12926900789 25853801578 51707603156 103415206312