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103346730740 = 225111394916883
BaseRepresentation
bin110000000111111110…
…0011111011011110100
3100212202102002212202002
41200033330133123310
53143123230340430
6115250555034432
710316012500661
oct1401774373364
9325672085662
10103346730740
113a913598480
121804273ba18
13998cca40a6
145005722a68
152a4ce6d845
hex180ff1f6f4

103346730740 has 96 divisors (see below), whose sum is σ = 238981639680. Its totient is φ = 37228867200.

The previous prime is 103346730727. The next prime is 103346730791. The reversal of 103346730740 is 47037643301.

It is a junction number, because it is equal to n+sod(n) for n = 103346730694 and 103346730703.

It is a congruent number.

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, 15011339 + ... + 15018221.

It is an arithmetic number, because the mean of its divisors is an integer number (2489392080).

Almost surely, 2103346730740 is an apocalyptic number.

103346730740 is a gapful number since it is divisible by the number (10) 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 103346730740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119490819840).

103346730740 is an abundant number, since it is smaller than the sum of its proper divisors (135634908940).

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

103346730740 is a wasteful number, since it uses less digits than its factorization.

103346730740 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7533 (or 7531 counting only the distinct ones).

The product of its (nonzero) digits is 127008, while the sum is 38.

The spelling of 103346730740 in words is "one hundred three billion, three hundred forty-six million, seven hundred thirty thousand, seven hundred forty".

Divisors: 1 2 4 5 10 11 20 22 44 55 110 139 220 278 491 556 695 982 1390 1529 1964 2455 2780 3058 4910 5401 6116 6883 7645 9820 10802 13766 15290 21604 27005 27532 30580 34415 54010 68249 68830 75713 108020 136498 137660 151426 272996 302852 341245 378565 682490 750739 757130 956737 1364980 1501478 1514260 1913474 3002956 3379553 3753695 3826948 4783685 6759106 7507390 9567370 10524107 13518212 15014780 16897765 19134740 21048214 33795530 37175083 42096428 52620535 67591060 74350166 105241070 148700332 185875415 210482140 371750830 469757867 743501660 939515734 1879031468 2348789335 4697578670 5167336537 9395157340 10334673074 20669346148 25836682685 51673365370 103346730740