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52131213200 = 245211107110729
BaseRepresentation
bin110000100011010000…
…110010111110010000
311222120010002000112002
4300203100302332100
51323231042310300
635540532453132
73523601000213
oct604320627620
9158503060462
1052131213200
1120121790080
12a12a77a1a8
134bba468b21
1427477c377a
151551a255d5
hexc23432f90

52131213200 has 120 divisors (see below), whose sum is σ = 137909342880. Its totient is φ = 18779468800.

The previous prime is 52131213179. The next prime is 52131213227. The reversal of 52131213200 is 231213125.

It is a Harshad number since it is a multiple of its sum of digits (20).

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, 415436 + ... + 526164.

It is an arithmetic number, because the mean of its divisors is an integer number (1149244524).

Almost surely, 252131213200 is an apocalyptic number.

52131213200 is a gapful number since it is divisible by the number (50) 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 52131213200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68954671440).

52131213200 is an abundant number, since it is smaller than the sum of its proper divisors (85778129680).

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

52131213200 is a wasteful number, since it uses less digits than its factorization.

52131213200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 110865 (or 110854 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 20.

Adding to 52131213200 its reverse (231213125), we get a palindrome (52362426325).

The spelling of 52131213200 in words is "fifty-two billion, one hundred thirty-one million, two hundred thirteen thousand, two hundred".

Divisors: 1 2 4 5 8 10 11 16 20 22 25 40 44 50 55 80 88 100 107 110 176 200 214 220 275 400 428 440 535 550 856 880 1070 1100 1177 1712 2140 2200 2354 2675 4280 4400 4708 5350 5885 8560 9416 10700 11770 18832 21400 23540 29425 42800 47080 58850 94160 110729 117700 221458 235400 442916 470800 553645 885832 1107290 1218019 1771664 2214580 2436038 2768225 4429160 4872076 5536450 6090095 8858320 9744152 11072900 11848003 12180190 19488304 22145800 23696006 24360380 30450475 44291600 47392012 48720760 59240015 60900950 94784024 97441520 118480030 121801900 130328033 189568048 236960060 243603800 260656066 296200075 473920120 487207600 521312132 592400150 651640165 947840240 1042624264 1184800300 1303280330 2085248528 2369600600 2606560660 3258200825 4739201200 5213121320 6516401650 10426242640 13032803300 26065606600 52131213200