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31301303200 = 2552110935281
BaseRepresentation
bin11101001001101100…
…111111101110100000
32222210102220221202221
4131021230333232200
51003101113200300
622213555320424
72155450454506
oct351154775640
988712827687
1031301303200
1112302851422
1260968b0114
132c4ab682ab
14172d1c8676
15c32ec531a
hex749b3fba0

31301303200 has 72 divisors (see below), whose sum is σ = 76485378060. Its totient is φ = 12508876800.

The previous prime is 31301303177. The next prime is 31301303213. The reversal of 31301303200 is 230310313.

It can be written as a sum of positive squares in 6 ways, for example, as 660901264 + 30640401936 = 25708^2 + 175044^2 .

It is a Harshad number since it is a multiple of its sum of digits (16).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 869560 + ... + 904840.

Almost surely, 231301303200 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 31301303200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38242689030).

31301303200 is an abundant number, since it is smaller than the sum of its proper divisors (45184074860).

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

31301303200 is a wasteful number, since it uses less digits than its factorization.

31301303200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36410 (or 36397 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 16.

Adding to 31301303200 its reverse (230310313), we get a palindrome (31531613513).

The spelling of 31301303200 in words is "thirty-one billion, three hundred one million, three hundred three thousand, two hundred".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 80 100 160 200 400 800 1109 2218 4436 5545 8872 11090 17744 22180 27725 35281 35488 44360 55450 70562 88720 110900 141124 176405 177440 221800 282248 352810 443600 564496 705620 882025 887200 1128992 1411240 1764050 2822480 3528100 5644960 7056200 14112400 28224800 39126629 78253258 156506516 195633145 313013032 391266290 626026064 782532580 978165725 1252052128 1565065160 1956331450 3130130320 3912662900 6260260640 7825325800 15650651600 31301303200