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103121174528 = 2141012617
BaseRepresentation
bin110000000001010000…
…0000100000000000000
3100212011200200102210022
41200002200010000000
53142143010041103
6115212340353012
710310303343461
oct1400240040000
9325150612708
10103121174528
113a80823a789
1217b9b0a5768
13995533c688
144dc37aad68
152a38267138
hex1802804000

103121174528 has 90 divisors (see below), whose sum is σ = 208635811818. Its totient is φ = 50967347200.

The previous prime is 103121174459. The next prime is 103121174557. The reversal of 103121174528 is 825471121301.

It can be written as a sum of positive squares in 3 ways, for example, as 39923236864 + 63197937664 = 199808^2 + 251392^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 167132876 + ... + 167133492.

Almost surely, 2103121174528 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 103121174528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104317905909).

103121174528 is an abundant number, since it is smaller than the sum of its proper divisors (105514637290).

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

103121174528 is an frugal number, since it uses more digits than its factorization.

103121174528 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 847 (or 720 counting only the distinct ones).

The product of its (nonzero) digits is 13440, while the sum is 35.

Adding to 103121174528 its reverse (825471121301), we get a palindrome (928592295829).

The spelling of 103121174528 in words is "one hundred three billion, one hundred twenty-one million, one hundred seventy-four thousand, five hundred twenty-eight".

Divisors: 1 2 4 8 16 32 64 101 128 202 256 404 512 617 808 1024 1234 1616 2048 2468 3232 4096 4936 6464 8192 9872 10201 12928 16384 19744 20402 25856 39488 40804 51712 62317 78976 81608 103424 124634 157952 163216 206848 249268 315904 326432 413696 498536 631808 652864 827392 997072 1263616 1305728 1654784 1994144 2527232 2611456 3988288 5054464 5222912 6294017 7976576 10108928 10445824 12588034 15953152 20891648 25176068 31906304 41783296 50352136 63812608 83566592 100704272 127625216 167133184 201408544 255250432 402817088 510500864 805634176 1021001728 1611268352 3222536704 6445073408 12890146816 25780293632 51560587264 103121174528