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103400938908 = 223323157126497
BaseRepresentation
bin110000001001100101…
…1010001110110011100
3100212220012002221101000
41200103023101312130
53143231120021113
6115300212550300
710320241323201
oct1402313216634
9325805087330
10103400938908
113a941152913
1218058922390
13999b2a3a27
14500c9d3ca8
152a52aca373
hex18132d1d9c

103400938908 has 96 divisors (see below), whose sum is σ = 279920632320. Its totient is φ = 32946186240.

The previous prime is 103400938897. The next prime is 103400938943. The reversal of 103400938908 is 809839004301.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3889116 + ... + 3915612.

It is an arithmetic number, because the mean of its divisors is an integer number (2915839920).

Almost surely, 2103400938908 is an apocalyptic number.

103400938908 is a gapful number since it is divisible by the number (18) 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 103400938908, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139960316160).

103400938908 is an abundant number, since it is smaller than the sum of its proper divisors (176519693412).

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

103400938908 is a wasteful number, since it uses less digits than its factorization.

103400938908 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28104 (or 28096 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 45.

The spelling of 103400938908 in words is "one hundred three billion, four hundred million, nine hundred thirty-eight thousand, nine hundred eight".

Divisors: 1 2 3 4 6 9 12 18 23 27 36 46 54 69 92 108 138 207 276 414 621 828 1242 1571 2484 3142 4713 6284 9426 14139 18852 26497 28278 36133 42417 52994 56556 72266 79491 84834 105988 108399 144532 158982 169668 216798 238473 317964 325197 433596 476946 609431 650394 715419 953892 975591 1218862 1300788 1430838 1828293 1951182 2437724 2861676 3656586 3902364 5484879 7313172 10969758 16454637 21939516 32909274 41626787 65818548 83253574 124880361 166507148 249760722 374641083 499521444 749282166 957416101 1123923249 1498564332 1914832202 2247846498 2872248303 3829664404 4495692996 5744496606 8616744909 11488993212 17233489818 25850234727 34466979636 51700469454 103400938908