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1213213120 = 2657541613
BaseRepresentation
bin100100001010000…
…0010100111000000
310010112212121112021
41020110002213000
54441040304440
6320215211224
742031066330
oct11024024700
93115777467
101213213120
11572910a79
1229a376b14
1316446c6b2
14b71ad0c0
157179a84a
hex485029c0

1213213120 has 56 divisors (see below), whose sum is σ = 3301678944. Its totient is φ = 415958016.

The previous prime is 1213213103. The next prime is 1213213121. The reversal of 1213213120 is 213123121.

It is a tau number, because it is divible by the number of its divisors (56).

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 1213213094 and 1213213103.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1213213121) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 268567 + ... + 273046.

Almost surely, 21213213120 is an apocalyptic number.

1213213120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1213213120 is an abundant number, since it is smaller than the sum of its proper divisors (2088465824).

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

1213213120 is an equidigital number, since it uses as much as digits as its factorization.

1213213120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 541637 (or 541627 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 16.

The square root of 1213213120 is about 34831.2089942339. The cubic root of 1213213120 is about 1066.5446283991.

Adding to 1213213120 its reverse (213123121), we get a palindrome (1426336241).

It can be divided in two parts, 12132 and 13120, that added together give a palindrome (25252).

The spelling of 1213213120 in words is "one billion, two hundred thirteen million, two hundred thirteen thousand, one hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 56 64 70 80 112 140 160 224 280 320 448 560 1120 2240 541613 1083226 2166452 2708065 3791291 4332904 5416130 7582582 8665808 10832260 15165164 17331616 18956455 21664520 30330328 34663232 37912910 43329040 60660656 75825820 86658080 121321312 151651640 173316160 242642624 303303280 606606560 1213213120