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103252530030 = 235132929273119
BaseRepresentation
bin110000000101001010…
…1001001001101101110
3100212111211211222122220
41200022111021031232
53142430121430110
6115233352020210
710313460011226
oct1401225111556
9325454758586
10103252530030
113a8753a8051
1218017091666
139976611120
144dd7001086
152a44a62370
hex180a54936e

103252530030 has 128 divisors (see below), whose sum is σ = 276253286400. Its totient is φ = 24523344384.

The previous prime is 103252530011. The next prime is 103252530049. The reversal of 103252530030 is 30035252301.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (103252530011) and next prime (103252530049).

It is a super-2 number, since 2×1032525300302 (a number of 23 digits) contains 22 as substring.

It is a Curzon number.

It is a congruent number.

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, 33102811 + ... + 33105929.

It is an arithmetic number, because the mean of its divisors is an integer number (2158228800).

Almost surely, 2103252530030 is an apocalyptic number.

103252530030 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 103252530030, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138126643200).

103252530030 is an abundant number, since it is smaller than the sum of its proper divisors (173000756370).

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

103252530030 is a wasteful number, since it uses less digits than its factorization.

103252530030 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6098.

The product of its (nonzero) digits is 2700, while the sum is 24.

Adding to 103252530030 its reverse (30035252301), we get a palindrome (133287782331).

The spelling of 103252530030 in words is "one hundred three billion, two hundred fifty-two million, five hundred thirty thousand, thirty".

Divisors: 1 2 3 5 6 10 13 15 26 29 30 39 58 65 78 87 130 145 174 195 290 377 390 435 754 870 1131 1885 2262 2927 3119 3770 5655 5854 6238 8781 9357 11310 14635 15595 17562 18714 29270 31190 38051 40547 43905 46785 76102 81094 84883 87810 90451 93570 114153 121641 169766 180902 190255 202735 228306 243282 254649 271353 380510 405470 424415 452255 509298 542706 570765 608205 848830 904510 1103479 1141530 1175863 1216410 1273245 1356765 2206958 2351726 2546490 2713530 3310437 3527589 5517395 5879315 6620874 7055178 9129313 11034790 11758630 16552185 17637945 18258626 27387939 33104370 35275890 45646565 54775878 91293130 118681069 136939695 237362138 264750077 273879390 356043207 529500154 593405345 712086414 794250231 1186810690 1323750385 1588500462 1780216035 2647500770 3441751001 3560432070 3971251155 6883502002 7942502310 10325253003 17208755005 20650506006 34417510010 51626265015 103252530030