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110101020013300 = 225247531103400721
BaseRepresentation
bin11001000010001011100100…
…001011111111001011110100
3112102211112222101112011120011
4121002023210023333023310
5103412343342110411200
61030055413233150004
732122351625462011
oct3102134413771364
9472745871464504
10110101020013300
1132099642519398
12104223949bb304
134958635207564
141d28cbc63c708
15cadea82835ba
hex6422e42ff2f4

110101020013300 has 144 divisors (see below), whose sum is σ = 248832435704832. Its totient is φ = 42251660339200.

The previous prime is 110101020013267. The next prime is 110101020013339. The reversal of 110101020013300 is 3310020101011.

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, 274556940 + ... + 274957660.

It is an arithmetic number, because the mean of its divisors is an integer number (1728003025728).

Almost surely, 2110101020013300 is an apocalyptic number.

110101020013300 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 110101020013300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124416217852416).

110101020013300 is an abundant number, since it is smaller than the sum of its proper divisors (138731415691532).

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

110101020013300 is a wasteful number, since it uses less digits than its factorization.

110101020013300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 401938 (or 401931 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 13.

Adding to 110101020013300 its reverse (3310020101011), we get a palindrome (113411040114311).

The spelling of 110101020013300 in words is "one hundred ten trillion, one hundred one billion, twenty million, thirteen thousand, three hundred".

Divisors: 1 2 4 5 10 20 25 47 50 53 94 100 106 188 212 235 265 470 530 940 1060 1103 1175 1325 2206 2350 2491 2650 4412 4700 4982 5300 5515 9964 11030 12455 22060 24910 27575 49820 51841 55150 58459 62275 103682 110300 116918 124550 207364 233836 249100 259205 292295 400721 518410 584590 801442 1036820 1169180 1296025 1461475 1602884 2003605 2592050 2747573 2922950 4007210 5184100 5495146 5845900 8014420 10018025 10990292 13737865 18833887 20036050 21238213 27475730 37667774 40072100 42476426 54951460 68689325 75335548 84952852 94169435 106191065 137378650 188338870 212382130 274757300 376677740 424764260 441995263 470847175 530955325 883990526 941694350 998196011 1061910650 1767981052 1883388700 1996392022 2123821300 2209976315 3992784044 4419952630 4990980055 8839905260 9981960110 11049881575 19963920220 20773777361 22099763150 23425748939 24954900275 41547554722 44199526300 46851497878 49909800550 83095109444 93702995756 99819601100 103868886805 117128744695 207737773610 234257489390 415475547220 468514978780 519344434025 585643723475 1038688868050 1101010200133 1171287446950 2077377736100 2202020400266 2342574893900 4404040800532 5505051000665 11010102001330 22020204002660 27525255003325 55050510006650 110101020013300