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103242034203232 = 2537711915764109
BaseRepresentation
bin10111011110010111101000…
…110001100100101001100000
3111112112211201212122020222011
4113132113220301210221200
5102013004141224000412
61003324422531122304
730513663565161661
oct2736275061445140
9445484655566864
10103242034203232
112a994778880091
12b6b4bb8443394
13457b8b3608b02
141b6cd265d7368
15be086783b7a7
hex5de5e8c64a60

103242034203232 has 96 divisors (see below), whose sum is σ = 211705718091840. Its totient is φ = 49515090831360.

The previous prime is 103242034203221. The next prime is 103242034203233. The reversal of 103242034203232 is 232302430242301.

It is a super-2 number, since 2×1032420342032322 (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 103242034203194 and 103242034203203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (103242034203233) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1610381994 + ... + 1610446102.

It is an arithmetic number, because the mean of its divisors is an integer number (2205267896790).

Almost surely, 2103242034203232 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 103242034203232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105852859045920).

103242034203232 is an abundant number, since it is smaller than the sum of its proper divisors (108463683888608).

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

103242034203232 is a wasteful number, since it uses less digits than its factorization.

103242034203232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 83384 (or 83376 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 31.

Adding to 103242034203232 its reverse (232302430242301), we get a palindrome (335544464445533).

The spelling of 103242034203232 in words is "one hundred three trillion, two hundred forty-two billion, thirty-four million, two hundred three thousand, two hundred thirty-two".

Divisors: 1 2 4 8 16 32 37 71 74 142 148 284 296 568 592 1136 1184 2272 2627 5254 10508 19157 21016 38314 42032 64109 76628 84064 128218 153256 256436 306512 512872 613024 708809 1025744 1360147 1417618 2051488 2372033 2720294 2835236 4551739 4744066 5440588 5670472 9103478 9488132 10881176 11340944 18206956 18976264 21762352 22681888 36413912 37952528 43524704 50325439 72827824 75905056 100650878 145655648 168414343 201301756 336828686 402603512 673657372 805207024 1228136113 1347314744 1610414048 2456272226 2694629488 4912544452 5389258976 9825088904 19650177808 39300355616 45441036181 87197664023 90882072362 174395328046 181764144724 348790656092 363528289448 697581312184 727056578896 1395162624368 1454113157792 2790325248736 3226313568851 6452627137702 12905254275404 25810508550808 51621017101616 103242034203232