Search a number
-
+
103331551011234 = 237131811873111969
BaseRepresentation
bin10111011111101011000000…
…011001000110000110100010
3111112212101210110022021021120
4113133223000121012012202
5102020441004024324414
61003433505331033110
730523313106404340
oct2737530031060642
9445771713267246
10103331551011234
112aa19734774947
12b70a41b43b796
13458717b2ac560
141b733b9276990
15be2d565702a9
hex5dfac06461a2

103331551011234 has 128 divisors (see below), whose sum is σ = 254545450629120. Its totient is φ = 27231834009600.

The previous prime is 103331551011109. The next prime is 103331551011253. The reversal of 103331551011234 is 432110155133301.

It is a junction number, because it is equal to n+sod(n) for n = 103331551011195 and 103331551011204.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 8633259202 + ... + 8633271170.

It is an arithmetic number, because the mean of its divisors is an integer number (1988636333040).

Almost surely, 2103331551011234 is an apocalyptic number.

103331551011234 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

103331551011234 is an abundant number, since it is smaller than the sum of its proper divisors (151213899617886).

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

103331551011234 is a wasteful number, since it uses less digits than its factorization.

103331551011234 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22536.

The product of its (nonzero) digits is 16200, while the sum is 33.

The spelling of 103331551011234 in words is "one hundred three trillion, three hundred thirty-one billion, five hundred fifty-one million, eleven thousand, two hundred thirty-four".

Divisors: 1 2 3 6 7 13 14 21 26 39 42 78 91 182 273 546 1811 3622 5433 8731 10866 11969 12677 17462 23543 23938 25354 26193 35907 38031 47086 52386 61117 70629 71814 76062 83783 113503 122234 141258 155597 164801 167566 183351 227006 251349 311194 329602 340509 366702 466791 494403 502698 681018 794521 933582 988806 1089179 1589042 2178358 2383563 3267537 4767126 6535074 15811841 21675859 31623682 43351718 47435523 65027577 94871046 104501339 110682887 130055154 151731013 205553933 209002678 221365774 281786167 303462026 313504017 332048661 411107866 455193039 563572334 616661799 627008034 664097322 731509373 845358501 910386078 1233323598 1358517407 1438877531 1463018746 1690717002 1972503169 2194528119 2717034814 2877755062 3945006338 4075552221 4316632593 4389056238 5917509507 8151104442 8633265186 9509621849 11835019014 19019243698 28528865547 57057731094 189251924929 378503849858 567755774787 1135511549574 1324763474503 2460275024077 2649526949006 3974290423509 4920550048154 7380825072231 7948580847018 14761650144462 17221925168539 34443850337078 51665775505617 103331551011234