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2113111962 = 235133110789
BaseRepresentation
bin111110111110011…
…1000011110011010
312110021012012200000
41331330320132122
513311424040322
6545403153430
7103236104163
oct17574703632
95407165600
102113111962
11994884325
124ab815876
13278a2c010
1416090076a
15c57a73ac
hex7df3879a

2113111962 has 96 divisors (see below), whose sum is σ = 5278640640. Its totient is φ = 629156160.

The previous prime is 2113111943. The next prime is 2113111991. The reversal of 2113111962 is 2691113112.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a nude number because it is divisible by every one of its digits.

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, 190464 + ... + 201252.

It is an arithmetic number, because the mean of its divisors is an integer number (54985840).

Almost surely, 22113111962 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2113111962, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2639320320).

2113111962 is an abundant number, since it is smaller than the sum of its proper divisors (3165528678).

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

2113111962 is a wasteful number, since it uses less digits than its factorization.

2113111962 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10850 (or 10838 counting only the distinct ones).

The product of its digits is 648, while the sum is 27.

The square root of 2113111962 is about 45968.5975639893. The cubic root of 2113111962 is about 1283.2388601882.

The spelling of 2113111962 in words is "two billion, one hundred thirteen million, one hundred eleven thousand, nine hundred sixty-two".

Divisors: 1 2 3 6 9 13 18 26 27 31 39 54 62 78 81 93 117 162 186 234 243 279 351 403 486 558 702 806 837 1053 1209 1674 2106 2418 2511 3159 3627 5022 6318 7254 7533 10789 10881 15066 21578 21762 32367 32643 64734 65286 97101 97929 140257 194202 195858 280514 291303 334459 420771 582606 668918 841542 873909 1003377 1262313 1747818 2006754 2524626 2621727 3010131 3786939 4347967 5243454 6020262 7573878 8695934 9030393 11360817 13043901 18060786 22721634 26087802 27091179 34082451 39131703 54182358 68164902 78263406 81273537 117395109 162547074 234790218 352185327 704370654 1056555981 2113111962