Search a number
-
+
102020332302300 = 223526719492604227
BaseRepresentation
bin10111001100100101110101…
…101010101010111111011100
3111101020001022100222100120010
4113030211311222222333130
5101333000120032133200
61000551254343323220
730326503640311506
oct2714456552527734
9441201270870503
10102020332302300
112a563641a13685
12b538282a50510
1344c0625b82909
141b29b4bb68d76
15bbdbb27a8150
hex5cc975aaafdc

102020332302300 has 144 divisors (see below), whose sum is σ = 299738309270400. Its totient is φ = 26785610269440.

The previous prime is 102020332302281. The next prime is 102020332302359. The reversal of 102020332302300 is 3203233020201.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 37872787 + ... + 40477013.

It is an arithmetic number, because the mean of its divisors is an integer number (2081516036600).

Almost surely, 2102020332302300 is an apocalyptic number.

102020332302300 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 102020332302300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149869154635200).

102020332302300 is an abundant number, since it is smaller than the sum of its proper divisors (197717976968100).

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

102020332302300 is a wasteful number, since it uses less digits than its factorization.

102020332302300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2606260 (or 2606253 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 21.

Adding to 102020332302300 its reverse (3203233020201), we get a palindrome (105223565322501).

The spelling of 102020332302300 in words is "one hundred two trillion, twenty billion, three hundred thirty-two million, three hundred two thousand, three hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 67 75 100 134 150 201 268 300 335 402 670 804 1005 1340 1675 1949 2010 3350 3898 4020 5025 5847 6700 7796 9745 10050 11694 19490 20100 23388 29235 38980 48725 58470 97450 116940 130583 146175 194900 261166 292350 391749 522332 584700 652915 783498 1305830 1566996 1958745 2604227 2611660 3264575 3917490 5208454 6529150 7812681 7834980 9793725 10416908 13021135 13058300 15625362 19587450 26042270 31250724 39063405 39174900 52084540 65105675 78126810 130211350 156253620 174483209 195317025 260422700 348966418 390634050 523449627 697932836 781268100 872416045 1046899254 1744832090 2093798508 2617248135 3489664180 4362080225 5075638423 5234496270 8724160450 10151276846 10468992540 13086240675 15226915269 17448320900 20302553692 25378192115 26172481350 30453830538 50756384230 52344962700 60907661076 76134576345 101512768460 126890960575 152269152690 253781921150 304538305380 340067774341 380672881725 507563842300 680135548682 761345763450 1020203323023 1360271097364 1522691526900 1700338871705 2040406646046 3400677743410 4080813292092 5101016615115 6801355486820 8501694358525 10202033230230 17003388717050 20404066460460 25505083075575 34006777434100 51010166151150 102020332302300