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213121021200 = 24352374800023
BaseRepresentation
bin1100011001111100000…
…0001011010100010000
3202101002202210121211120
43012133000023110100
511442432440134300
6241523443042240
721253223535063
oct3063700132420
9671082717746
10213121021200
118242529567a
1235379970380
13171357b4849
14a45a9508da
15582532e3a0
hex319f00b510

213121021200 has 120 divisors (see below), whose sum is σ = 701149105728. Its totient is φ = 55296253440.

The previous prime is 213121021189. The next prime is 213121021247. The reversal of 213121021200 is 2120121312.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 213121021200.

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, 2355612 + ... + 2444411.

Almost surely, 2213121021200 is an apocalyptic number.

213121021200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

213121021200 is an abundant number, since it is smaller than the sum of its proper divisors (488028084528).

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

213121021200 is a wasteful number, since it uses less digits than its factorization.

213121021200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4800081 (or 4800070 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 15.

Adding to 213121021200 its reverse (2120121312), we get a palindrome (215241142512).

The spelling of 213121021200 in words is "two hundred thirteen billion, one hundred twenty-one million, twenty-one thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 37 40 48 50 60 74 75 80 100 111 120 148 150 185 200 222 240 296 300 370 400 444 555 592 600 740 888 925 1110 1200 1480 1776 1850 2220 2775 2960 3700 4440 5550 7400 8880 11100 14800 22200 44400 4800023 9600046 14400069 19200092 24000115 28800138 38400184 48000230 57600276 72000345 76800368 96000460 115200552 120000575 144000690 177600851 192000920 230401104 240001150 288001380 355201702 360001725 384001840 480002300 532802553 576002760 710403404 720003450 888004255 960004600 1065605106 1152005520 1420806808 1440006900 1776008510 1920009200 2131210212 2664012765 2841613616 2880013800 3552017020 4262420424 4440021275 5328025530 5760027600 7104034040 8524840848 8880042550 10656051060 13320063825 14208068080 17760085100 21312102120 26640127650 35520170200 42624204240 53280255300 71040340400 106560510600 213121021200