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202131003040 = 25523306717909
BaseRepresentation
bin1011110000111111110…
…0100101011010100000
3201022201212010212002221
42330033330211122200
511302431014044130
6232505132520424
720413665114601
oct2741774453240
9638655125087
10202131003040
11787a575533a
1233211320114
13160a3973715
149ad711bda8
1553d05b287a
hex2f0ff256a0

202131003040 has 96 divisors (see below), whose sum is σ = 498487167360. Its totient is φ = 77307546624.

The previous prime is 202131003031. The next prime is 202131003059. The reversal of 202131003040 is 40300131202.

It is a happy number.

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 15 ways as a sum of consecutive naturals, for example, 11277606 + ... + 11295514.

It is an arithmetic number, because the mean of its divisors is an integer number (5192574660).

Almost surely, 2202131003040 is an apocalyptic number.

202131003040 is a gapful number since it is divisible by the number (20) 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 202131003040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (249243583680).

202131003040 is an abundant number, since it is smaller than the sum of its proper divisors (296356164320).

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

202131003040 is a wasteful number, since it uses less digits than its factorization.

202131003040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21014 (or 21006 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

Adding to 202131003040 its reverse (40300131202), we get a palindrome (242431134242).

The spelling of 202131003040 in words is "two hundred two billion, one hundred thirty-one million, three thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 23 32 40 46 80 92 115 160 184 230 368 460 736 920 1840 3067 3680 6134 12268 15335 17909 24536 30670 35818 49072 61340 70541 71636 89545 98144 122680 141082 143272 179090 245360 282164 286544 352705 358180 411907 490720 564328 573088 705410 716360 823814 1128656 1410820 1432720 1647628 2059535 2257312 2821640 2865440 3295256 4119070 5643280 6590512 8238140 11286560 13181024 16476280 32952560 54926903 65905120 109853806 219707612 274634515 439415224 549269030 878830448 1098538060 1263318769 1757660896 2197076120 2526637538 4394152240 5053275076 6316593845 8788304480 10106550152 12633187690 20213100304 25266375380 40426200608 50532750760 101065501520 202131003040