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103032110303031 = 37132320249810361
BaseRepresentation
bin10111011011010100001000…
…010101011100011100110111
3111111210202212220210012122110
4113123110020111130130313
5102001034230214144111
61003044144213302103
730462552512363220
oct2733241025343467
9444722786705573
10103032110303031
112a913744251878
12b680391334933
134564b6a2c5550
141b62ad0522247
15bda17d03c5a6
hex5db50855c737

103032110303031 has 64 divisors (see below), whose sum is σ = 176438497536000. Its totient is φ = 51981080279040.

The previous prime is 103032110303029. The next prime is 103032110303113. The reversal of 103032110303031 is 130303011230301.

It is not a de Polignac number, because 103032110303031 - 21 = 103032110303029 is a prime.

It is a super-2 number, since 2×1030321103030312 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a junction number, because it is equal to n+sod(n) for n = 103032110302989 and 103032110303007.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (103032110303531) 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, 126738291 + ... + 127548651.

It is an arithmetic number, because the mean of its divisors is an integer number (2756851524000).

Almost surely, 2103032110303031 is an apocalyptic number.

103032110303031 is a deficient number, since it is larger than the sum of its proper divisors (73406387232969).

103032110303031 is a wasteful number, since it uses less digits than its factorization.

103032110303031 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 830656.

The product of its (nonzero) digits is 486, while the sum is 21.

Adding to 103032110303031 its reverse (130303011230301), we get a palindrome (233335121533332).

The spelling of 103032110303031 in words is "one hundred three trillion, thirty-two billion, one hundred ten million, three hundred three thousand, thirty-one".

Divisors: 1 3 7 13 21 23 39 69 91 161 273 299 483 897 2093 6279 20249 60747 141743 263237 425229 465727 789711 810361 1397181 1842659 2431083 3260089 5527977 5672527 6054451 9780267 10534693 17017581 18163353 18638303 31604079 42381157 55914909 73742851 127143471 130468121 221228553 242297939 391404363 726893817 1696085573 5088256719 16408999889 49226999667 114862999223 213316998557 344588997669 377406997447 639950995671 1132220992341 1493218989899 2641848982129 4479656969697 4906290966811 7925546946387 14718872900433 34344036767677 103032110303031