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11813121330 = 2351731224103
BaseRepresentation
bin10110000000001110…
…11110110100110010
31010111021110202000020
423000013132310302
5143143124340310
65232112104310
7565511605653
oct130007366462
933437422006
1011813121330
11501222099a
122358235096
131163522a2a
14800c9352a
15492159170
hex2c01ded32

11813121330 has 96 divisors (see below), whose sum is σ = 31020112512. Its totient is φ = 2869102080.

The previous prime is 11813121323. The next prime is 11813121371. The reversal of 11813121330 is 3312131811.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 11813121330.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 478059 + ... + 502161.

It is an arithmetic number, because the mean of its divisors is an integer number (323126172).

Almost surely, 211813121330 is an apocalyptic number.

11813121330 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 11813121330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15510056256).

11813121330 is an abundant number, since it is smaller than the sum of its proper divisors (19206991182).

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

11813121330 is a wasteful number, since it uses less digits than its factorization.

11813121330 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24192 (or 24161 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 24.

The spelling of 11813121330 in words is "eleven billion, eight hundred thirteen million, one hundred twenty-one thousand, three hundred thirty".

Divisors: 1 2 3 5 6 10 15 17 30 31 34 51 62 85 93 102 155 170 186 255 310 465 510 527 930 961 1054 1581 1922 2635 2883 3162 4805 5270 5766 7905 9610 14415 15810 16337 24103 28830 32674 48206 49011 72309 81685 98022 120515 144618 163370 241030 245055 361545 409751 490110 723090 747193 819502 1229253 1494386 2048755 2241579 2458506 3735965 4097510 4483158 6146265 7471930 11207895 12292530 12702281 22415790 23162983 25404562 38106843 46325966 63511405 69488949 76213686 115814915 127022810 138977898 190534215 231629830 347444745 381068430 393770711 694889490 787541422 1181312133 1968853555 2362624266 3937707110 5906560665 11813121330