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103132022032 = 24132332817573
BaseRepresentation
bin110000000001100100…
…1011100010100010000
3100212012110002112202201
41200003021130110100
53142203244201112
6115213405052544
710310464503034
oct1400311342420
9325173075681
10103132022032
113a813379666
1217ba2857154
139957669c10
144dc4dd21c4
152a391ab257
hex180325c510

103132022032 has 80 divisors (see below), whose sum is σ = 216910210608. Its totient is φ = 47220203520.

The previous prime is 103132022003. The next prime is 103132022069. The reversal of 103132022032 is 230220231301.

103132022032 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 1138657536 + 101993364496 = 33744^2 + 319364^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 13614598 + ... + 13622170.

Almost surely, 2103132022032 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 103132022032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108455105304).

103132022032 is an abundant number, since it is smaller than the sum of its proper divisors (113778188576).

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

103132022032 is a wasteful number, since it uses less digits than its factorization.

103132022032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8108 (or 8102 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 19.

Adding to 103132022032 its reverse (230220231301), we get a palindrome (333352253333).

The spelling of 103132022032 in words is "one hundred three billion, one hundred thirty-two million, twenty-two thousand, thirty-two".

Divisors: 1 2 4 8 13 16 26 52 104 208 233 281 466 562 932 1124 1864 2248 3029 3653 3728 4496 6058 7306 7573 12116 14612 15146 24232 29224 30292 48464 58448 60584 65473 98449 121168 130946 196898 261892 393796 523784 787592 851149 1047568 1575184 1702298 1764509 2128013 3404596 3529018 4256026 6809192 7058036 8512052 13618384 14116072 17024104 22938617 27664169 28232144 34048208 45877234 55328338 91754468 110656676 183508936 221313352 367017872 442626704 495827029 991654058 1983308116 3966616232 6445751377 7933232464 12891502754 25783005508 51566011016 103132022032