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4100121102 = 2371159349431
BaseRepresentation
bin1111010001100010…
…1110001000001110
3101120202002201210010
43310120232020032
531344112333402
61514503454050
7203414311560
oct36430561016
911522081703
104100121102
111814458740
12965157326
135045a837c
142ac777330
1518ee50a6c
hexf462e20e

4100121102 has 128 divisors (see below), whose sum is σ = 10450944000. Its totient is φ = 1041494400.

The previous prime is 4100121083. The next prime is 4100121107. The reversal of 4100121102 is 2011210014.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4100121107) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 9512827 + ... + 9513257.

It is an arithmetic number, because the mean of its divisors is an integer number (81648000).

Almost surely, 24100121102 is an apocalyptic number.

4100121102 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 4100121102, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5225472000).

4100121102 is an abundant number, since it is smaller than the sum of its proper divisors (6350822898).

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

4100121102 is a wasteful number, since it uses less digits than its factorization.

4100121102 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 862.

The product of its (nonzero) digits is 16, while the sum is 12.

The square root of 4100121102 is about 64032.1880150913. The cubic root of 4100121102 is about 1600.5364219600.

Adding to 4100121102 its reverse (2011210014), we get a palindrome (6111331116).

It can be divided in two parts, 410012 and 1102, that added together give a palindrome (411114).

The spelling of 4100121102 in words is "four billion, one hundred million, one hundred twenty-one thousand, one hundred two".

Divisors: 1 2 3 6 7 11 14 21 22 33 42 59 66 77 118 154 177 231 349 354 413 431 462 649 698 826 862 1047 1239 1293 1298 1947 2094 2443 2478 2586 3017 3839 3894 4543 4741 4886 6034 7329 7678 9051 9086 9482 11517 13629 14223 14658 18102 20591 23034 25429 26873 27258 28446 33187 41182 50858 53746 61773 66374 76287 80619 99561 123546 144137 150419 152574 161238 178003 199122 226501 279719 288274 300838 356006 432411 451257 453002 534009 559438 679503 839157 864822 902514 1052933 1068018 1359006 1585507 1654609 1678314 1958033 2105866 3158799 3171014 3309218 3916066 4756521 4963827 5874099 6317598 8874721 9513042 9927654 11582263 11748198 17749442 23164526 26624163 34746789 53248326 62123047 69493578 97621931 124246094 186369141 195243862 292865793 372738282 585731586 683353517 1366707034 2050060551 4100121102