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202002100320 = 25351034085803
BaseRepresentation
bin1011110000100001000…
…0110111000001100000
3201022101212120220211010
42330020100313001200
511302200014202240
6232444250020520
720410541344116
oct2741020670140
9638355526733
10202002100320
1178739a12869
1233196117740
1316083050517
149ac3d65ab6
1553c40ee280
hex2f08437060

202002100320 has 96 divisors (see below), whose sum is σ = 642484507392. Its totient is φ = 53344230912.

The previous prime is 202002100303. The next prime is 202002100327. The reversal of 202002100320 is 23001200202.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 202002100296 and 202002100305.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (202002100327) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1993462 + ... + 2092341.

It is an arithmetic number, because the mean of its divisors is an integer number (6692546952).

Almost surely, 2202002100320 is an apocalyptic number.

202002100320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

202002100320 is an abundant number, since it is smaller than the sum of its proper divisors (440482407072).

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

202002100320 is a wasteful number, since it uses less digits than its factorization.

202002100320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4085924 (or 4085916 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 12.

Adding to 202002100320 its reverse (23001200202), we get a palindrome (225003300522).

The spelling of 202002100320 in words is "two hundred two billion, two million, one hundred thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 96 103 120 160 206 240 309 412 480 515 618 824 1030 1236 1545 1648 2060 2472 3090 3296 4120 4944 6180 8240 9888 12360 16480 24720 49440 4085803 8171606 12257409 16343212 20429015 24514818 32686424 40858030 49029636 61287045 65372848 81716060 98059272 122574090 130745696 163432120 196118544 245148180 326864240 392237088 420837709 490296360 653728480 841675418 980592720 1262513127 1683350836 1961185440 2104188545 2525026254 3366701672 4208377090 5050052508 6312565635 6733403344 8416754180 10100105016 12625131270 13466806688 16833508360 20200210032 25250262540 33667016720 40400420064 50500525080 67334033440 101001050160 202002100320