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10103407100370 = 2325832934616147
BaseRepresentation
bin1001001100000110000111…
…1111011100000111010010
31022202212122210221020010200
42103001201333130013102
52311013234204202440
633253235142040030
72061642563242113
oct223014177340722
938685583836120
1010103407100370
113245915a05051
121172136719016
135839937a888c
1426d01688820a
15127c2d338c30
hex93061fdc1d2

10103407100370 has 96 divisors (see below), whose sum is σ = 26676091495872. Its totient is φ = 2652695995776.

The previous prime is 10103407100357. The next prime is 10103407100377. The reversal of 10103407100370 is 7300170430101.

It is not an unprimeable number, because it can be changed into a prime (10103407100377) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 119364 + ... + 4496783.

It is an arithmetic number, because the mean of its divisors is an integer number (277875953082).

Almost surely, 210103407100370 is an apocalyptic number.

10103407100370 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 10103407100370, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13338045747936).

10103407100370 is an abundant number, since it is smaller than the sum of its proper divisors (16572684395502).

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

10103407100370 is a wasteful number, since it uses less digits than its factorization.

10103407100370 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4616536 (or 4616533 counting only the distinct ones).

The product of its (nonzero) digits is 1764, while the sum is 27.

Adding to 10103407100370 its reverse (7300170430101), we get a palindrome (17403577530471).

The spelling of 10103407100370 in words is "ten trillion, one hundred three billion, four hundred seven million, one hundred thousand, three hundred seventy".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 83 90 166 249 293 415 498 586 747 830 879 1245 1465 1494 1758 2490 2637 2930 3735 4395 5274 7470 8790 13185 24319 26370 48638 72957 121595 145914 218871 243190 364785 437742 729570 1094355 2188710 4616147 9232294 13848441 23080735 27696882 41545323 46161470 69242205 83090646 138484410 207726615 383140201 415453230 766280402 1149420603 1352531071 1915701005 2298841206 2705062142 3448261809 3831402010 4057593213 5747103015 6762655355 6896523618 8115186426 11494206030 12172779639 13525310710 17241309045 20287966065 24345559278 34482618090 40575932130 60863898195 112260078893 121727796390 224520157786 336780236679 561300394465 673560473358 1010340710037 1122600788930 1683901183395 2020681420074 3367802366790 5051703550185 10103407100370