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1211731361300 = 225243852133071
BaseRepresentation
bin10001101000100000110…
…100010011111000010100
311021211200122100000022102
4101220200310103320110
5124323111212030200
62324354532221232
7153354555425405
oct21504064237024
94254618300272
101211731361300
1142798a844509
12176a1246a818
138a35bbb2205
14429105b79ac
15217bea946d5
hex11a20d13e14

1211731361300 has 72 divisors (see below), whose sum is σ = 2691004348032. Its totient is φ = 473350752000.

The previous prime is 1211731361293. The next prime is 1211731361387. The reversal of 1211731361300 is 31631371121.

It is a super-2 number, since 2×12117313613002 (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 36623765 + ... + 36656835.

Almost surely, 21211731361300 is an apocalyptic number.

1211731361300 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 1211731361300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1345502174016).

1211731361300 is an abundant number, since it is smaller than the sum of its proper divisors (1479272986732).

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

1211731361300 is a wasteful number, since it uses less digits than its factorization.

1211731361300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 41649 (or 41642 counting only the distinct ones).

The product of its (nonzero) digits is 2268, while the sum is 29.

The spelling of 1211731361300 in words is "one trillion, two hundred eleven billion, seven hundred thirty-one million, three hundred sixty-one thousand, three hundred".

Divisors: 1 2 4 5 10 20 25 43 50 86 100 172 215 430 860 1075 2150 4300 8521 17042 33071 34084 42605 66142 85210 132284 165355 170420 213025 330710 366403 426050 661420 732806 826775 852100 1422053 1465612 1653550 1832015 2844106 3307100 3664030 5688212 7110265 7328060 9160075 14220530 18320150 28441060 35551325 36640300 71102650 142205300 281797991 563595982 1127191964 1408989955 2817979910 5635959820 7044949775 12117313613 14089899550 24234627226 28179799100 48469254452 60586568065 121173136130 242346272260 302932840325 605865680650 1211731361300