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100100321013030 = 235131913134293319
BaseRepresentation
bin10110110000101001101100…
…000100110110110100100110
3111010102111102111000000121220
4112300221230010312310212
5101110020424134404110
6552521241434121210
730041003161525632
oct2660515404666446
9433374374000556
10100100321013030
11299933426690a8
12b288142b80206
1343b155c2cca10
141aa0c4a755dc2
15b88c8bcb9370
hex5b0a6c136d26

100100321013030 has 128 divisors (see below), whose sum is σ = 260906361569280. Its totient is φ = 24432757539840.

The previous prime is 100100321012981. The next prime is 100100321013071. The reversal of 100100321013030 is 30310123001001.

It is a Harshad number since it is a multiple of its sum of digits (15).

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, 21168711 + ... + 25462029.

It is an arithmetic number, because the mean of its divisors is an integer number (2038330949760).

Almost surely, 2100100321013030 is an apocalyptic number.

100100321013030 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 100100321013030, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130453180784640).

100100321013030 is an abundant number, since it is smaller than the sum of its proper divisors (160806040556250).

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

100100321013030 is a wasteful number, since it uses less digits than its factorization.

100100321013030 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4293846.

The product of its (nonzero) digits is 54, while the sum is 15.

Adding to 100100321013030 its reverse (30310123001001), we get a palindrome (130410444014031).

The spelling of 100100321013030 in words is "one hundred trillion, one hundred billion, three hundred twenty-one million, thirteen thousand, thirty".

Divisors: 1 2 3 5 6 10 13 15 26 30 39 65 78 130 191 195 313 382 390 573 626 939 955 1146 1565 1878 1910 2483 2865 3130 4069 4695 4966 5730 7449 8138 9390 12207 12415 14898 20345 24414 24830 37245 40690 59783 61035 74490 119566 122070 179349 298915 358698 597830 777179 896745 1554358 1793490 2331537 3885895 4293319 4663074 7771790 8586638 11657685 12879957 21466595 23315370 25759914 42933190 55813147 64399785 111626294 128799570 167439441 279065735 334878882 558131470 820023929 837197205 1343808847 1640047858 1674394410 2460071787 2687617694 4031426541 4100119645 4920143574 6719044235 8062853082 8200239290 10660311077 12300358935 13438088470 17469515011 20157132705 21320622154 24600717870 31980933231 34939030022 40314265410 52408545033 53301555385 63961866462 87347575055 104817090066 106603110770 159904666155 174695150110 256667489777 262042725165 319809332310 513334979554 524085450330 770002469331 1283337448885 1540004938662 2566674897770 3336677367101 3850012346655 6673354734202 7700024693310 10010032101303 16683386835505 20020064202606 33366773671010 50050160506515 100100321013030