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20213434200 = 23352107314851
BaseRepresentation
bin10010110100110100…
…001000011101011000
31221011201010211221010
4102310310020131120
5312344114343300
613141432013520
71313623233021
oct226464103530
957151124833
1020213434200
118632a58323
123b015312a0
131ba198696b
14d9a7a3c48
157d487aa50
hex4b4d08758

20213434200 has 96 divisors (see below), whose sum is σ = 63247469760. Its totient is φ = 5339856000.

The previous prime is 20213434181. The next prime is 20213434249. The reversal of 20213434200 is 243431202.

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, 93226 + ... + 221625.

It is an arithmetic number, because the mean of its divisors is an integer number (658827810).

Almost surely, 220213434200 is an apocalyptic number.

20213434200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20213434200 is an abundant number, since it is smaller than the sum of its proper divisors (43034035560).

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

20213434200 is a wasteful number, since it uses less digits than its factorization.

20213434200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 314977 (or 314968 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 21.

Adding to 20213434200 its reverse (243431202), we get a palindrome (20456865402).

The spelling of 20213434200 in words is "twenty billion, two hundred thirteen million, four hundred thirty-four thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 75 100 107 120 150 200 214 300 321 428 535 600 642 856 1070 1284 1605 2140 2568 2675 3210 4280 5350 6420 8025 10700 12840 16050 21400 32100 64200 314851 629702 944553 1259404 1574255 1889106 2518808 3148510 3778212 4722765 6297020 7556424 7871275 9445530 12594040 15742550 18891060 23613825 31485100 33689057 37782120 47227650 62970200 67378114 94455300 101067171 134756228 168445285 188910600 202134342 269512456 336890570 404268684 505335855 673781140 808537368 842226425 1010671710 1347562280 1684452850 2021343420 2526679275 3368905700 4042686840 5053358550 6737811400 10106717100 20213434200