Search a number
-
+
100102012021120 = 2751941200782277
BaseRepresentation
bin10110110000101011010000…
…110111100010100110000000
3111010102122210022221010122011
4112300223100313202212000
5101110032410034133440
6552522121322222304
730041063114050444
oct2660532067424600
9433378708833564
10100102012021120
112999403014a54a
12b288535354994
1343b176b74b515
141aa0d6b17a824
15b88d3a4939ea
hex5b0ad0de2980

100102012021120 has 128 divisors (see below), whose sum is σ = 258045383685600. Its totient is φ = 37008189112320.

The previous prime is 100102012021111. The next prime is 100102012021157. The reversal of 100102012021120 is 21120210201001.

It is a tau number, because it is divible by the number of its divisors (128).

It is a self number, because there is not a number n which added to its sum of digits gives 100102012021120.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 99892579 + ... + 100889698.

Almost surely, 2100102012021120 is an apocalyptic number.

100102012021120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100102012021120 is an abundant number, since it is smaller than the sum of its proper divisors (157943371664480).

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

100102012021120 is a wasteful number, since it uses less digits than its factorization.

100102012021120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 200782356 (or 200782344 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 100102012021120 its reverse (21120210201001), we get a palindrome (121222222222121).

The spelling of 100102012021120 in words is "one hundred trillion, one hundred two billion, twelve million, twenty-one thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 19 20 32 38 40 41 64 76 80 82 95 128 152 160 164 190 205 304 320 328 380 410 608 640 656 760 779 820 1216 1312 1520 1558 1640 2432 2624 3040 3116 3280 3895 5248 6080 6232 6560 7790 12160 12464 13120 15580 24928 26240 31160 49856 62320 99712 124640 249280 498560 200782277 401564554 803129108 1003911385 1606258216 2007822770 3212516432 3814863263 4015645540 6425032864 7629726526 8031291080 8232073357 12850065728 15259453052 16062582160 16464146714 19074316315 25700131456 30518906104 32125164320 32928293428 38148632630 41160366785 61037812208 64250328640 65856586856 76297265260 82320733570 122075624416 128500657280 131713173712 152594530520 156409393783 164641467140 244151248832 263426347424 305189061040 312818787566 329282934280 488302497664 526852694848 610378122080 625637575132 658565868560 782046968915 1053705389696 1220756244160 1251275150264 1317131737120 1564093937830 2441512488320 2502550300528 2634263474240 3128187875660 5005100601056 5268526948480 6256375751320 10010201202112 12512751502640 20020402404224 25025503005280 50051006010560 100102012021120