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213121211100 = 223527101486291
BaseRepresentation
bin1100011001111100000…
…0111001101011011100
3202101002210011021022220
43012133000321223130
511442433012223400
6241523451105340
721253225255530
oct3063700715334
9671083137286
10213121211100
1182425405316
1235379a42250
1317135850105
14a45a99dbc0
15582536a7a0
hex319f039adc

213121211100 has 72 divisors (see below), whose sum is σ = 704720811648. Its totient is φ = 48713419200.

The previous prime is 213121211081. The next prime is 213121211111. The reversal of 213121211100 is 1112121312.

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 213121211100.

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, 50741046 + ... + 50745245.

Almost surely, 2213121211100 is an apocalyptic number.

213121211100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

213121211100 is an abundant number, since it is smaller than the sum of its proper divisors (491599600548).

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

213121211100 is a wasteful number, since it uses less digits than its factorization.

213121211100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 101486315 (or 101486308 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 15.

Adding to 213121211100 its reverse (1112121312), we get a palindrome (214233332412).

The spelling of 213121211100 in words is "two hundred thirteen billion, one hundred twenty-one million, two hundred eleven thousand, one hundred".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 25 28 30 35 42 50 60 70 75 84 100 105 140 150 175 210 300 350 420 525 700 1050 2100 101486291 202972582 304458873 405945164 507431455 608917746 710404037 1014862910 1217835492 1420808074 1522294365 2029725820 2131212111 2537157275 2841616148 3044588730 3552020185 4262424222 5074314550 6089177460 7104040370 7611471825 8524848444 10148629100 10656060555 14208080740 15222943650 17760100925 21312121110 30445887300 35520201850 42624242220 53280302775 71040403700 106560605550 213121211100