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103031031332133 = 32791936431167697
BaseRepresentation
bin10111011011010011001000…
…000001011111110100100101
3111111210200002201111210211100
4113123103020001133310211
5102001030023010112013
61003043445151230313
730462514001313402
oct2733231001376445
9444720081453740
10103031031332133
112a91324019aa93
12b68012bb18399
134564a278c8528
141b62a2b0d92a9
15bda11845c473
hex5db4c805fd25

103031031332133 has 48 divisors (see below), whose sum is σ = 151723018021120. Its totient is φ = 67361523720192.

The previous prime is 103031031332129. The next prime is 103031031332167. The reversal of 103031031332133 is 331233130130301.

103031031332133 is a `hidden beast` number, since 1 + 0 + 3 + 0 + 310 + 3 + 1 + 332 + 13 + 3 = 666.

It is not a de Polignac number, because 103031031332133 - 22 = 103031031332129 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 103031031332097 and 103031031332106.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (103031031330133) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 87650541 + ... + 88818237.

Almost surely, 2103031031332133 is an apocalyptic number.

It is an amenable number.

103031031332133 is a deficient number, since it is larger than the sum of its proper divisors (48691986688987).

103031031332133 is a wasteful number, since it uses less digits than its factorization.

103031031332133 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1168618 (or 1168615 counting only the distinct ones).

The product of its (nonzero) digits is 4374, while the sum is 27.

Adding to 103031031332133 its reverse (331233130130301), we get a palindrome (434264161462434).

The spelling of 103031031332133 in words is "one hundred three trillion, thirty-one billion, thirty-one million, three hundred thirty-two thousand, one hundred thirty-three".

Divisors: 1 3 9 79 193 237 579 643 711 1737 1929 5787 15247 45741 50797 124099 137223 152391 372297 457173 1116891 1167697 3503091 9803821 10509273 29411463 88234389 92248063 225365521 276744189 676096563 750829171 830232567 2028289689 2252487513 6757462539 17803876159 53411628477 59315504509 144910030003 160234885431 177946513527 434730090009 533839540581 1304190270027 11447892370237 34343677110711 103031031332133