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103213310032 = 2475371244897
BaseRepresentation
bin110000000011111111…
…1100010000001010000
3100212102010001101221101
41200013333202001100
53142340101410112
6115225431234144
710312502442220
oct1400777420120
9325363041841
10103213310032
113a85524a528
1218005b18954
13996b45b621
144dd1b12080
152a413b6757
hex1807fe2050

103213310032 has 80 divisors (see below), whose sum is σ = 236136529152. Its totient is φ = 42788229120.

The previous prime is 103213310029. The next prime is 103213310047. The reversal of 103213310032 is 230013312301.

It is a junction number, because it is equal to n+sod(n) for n = 103213309991 and 103213310009.

It is a congruent number.

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, 299008 + ... + 543904.

Almost surely, 2103213310032 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 103213310032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118068264576).

103213310032 is an abundant number, since it is smaller than the sum of its proper divisors (132923219120).

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

103213310032 is a wasteful number, since it uses less digits than its factorization.

103213310032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 245036 (or 245030 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 19.

Adding to 103213310032 its reverse (230013312301), we get a palindrome (333226622333).

The spelling of 103213310032 in words is "one hundred three billion, two hundred thirteen million, three hundred ten thousand, thirty-two".

Divisors: 1 2 4 7 8 14 16 28 53 56 71 106 112 142 212 284 371 424 497 568 742 848 994 1136 1484 1988 2968 3763 3976 5936 7526 7952 15052 26341 30104 52682 60208 105364 210728 244897 421456 489794 979588 1714279 1959176 3428558 3918352 6857116 12979541 13714232 17387687 25959082 27428464 34775374 51918164 69550748 90856787 103836328 121713809 139101496 181713574 207672656 243427618 278202992 363427148 486855236 726854296 921547411 973710472 1453708592 1843094822 1947420944 3686189644 6450831877 7372379288 12901663754 14744758576 25803327508 51606655016 103213310032