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103140462700 = 2252113110129947
BaseRepresentation
bin110000000001110100…
…1101001000001101100
3100212020000222101012001
41200003221221001230
53142212424301300
6115214310022044
710310626316302
oct1400351510154
9325200871161
10103140462700
113a818114220
1217ba5647924
139959333ab2
144dc618c272
152a39cc716a
hex1803a6906c

103140462700 has 144 divisors (see below), whose sum is σ = 254541708288. Its totient is φ = 35935200000.

The previous prime is 103140462653. The next prime is 103140462709. The reversal of 103140462700 is 7264041301.

It is not an unprimeable number, because it can be changed into a prime (103140462709) 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, 3429127 + ... + 3459073.

It is an arithmetic number, because the mean of its divisors is an integer number (1767650752).

Almost surely, 2103140462700 is an apocalyptic number.

103140462700 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 103140462700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127270854144).

103140462700 is an abundant number, since it is smaller than the sum of its proper divisors (151401245588).

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

103140462700 is a wasteful number, since it uses less digits than its factorization.

103140462700 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30104 (or 30097 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 28.

The spelling of 103140462700 in words is "one hundred three billion, one hundred forty million, four hundred sixty-two thousand, seven hundred".

Divisors: 1 2 4 5 10 11 20 22 25 31 44 50 55 62 100 101 110 124 155 202 220 275 310 341 404 505 550 620 682 775 1010 1100 1111 1364 1550 1705 2020 2222 2525 3100 3131 3410 4444 5050 5555 6262 6820 8525 10100 11110 12524 15655 17050 22220 27775 29947 31310 34100 34441 55550 59894 62620 68882 78275 111100 119788 137764 149735 156550 172205 299470 313100 329417 344410 598940 658834 688820 748675 861025 928357 1317668 1497350 1647085 1722050 1856714 2994700 3024647 3294170 3444100 3713428 4641785 6049294 6588340 8235425 9283570 10211927 12098588 15123235 16470850 18567140 20423854 23208925 30246470 32941700 33271117 40847708 46417850 51059635 60492940 66542234 75616175 92835700 93764057 102119270 133084468 151232350 166355585 187528114 204238540 255298175 302464700 332711170 375056228 468820285 510596350 665422340 831777925 937640570 1021192700 1031404627 1663555850 1875281140 2062809254 2344101425 3327111700 4125618508 4688202850 5157023135 9376405700 10314046270 20628092540 25785115675 51570231350 103140462700