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100110100212020 = 225792571753140639
BaseRepresentation
bin10110110000110010110010…
…111101100010100100110100
3111010110102200000021210201002
4112300302302331202210310
5101110200441123241040
6552525540052222432
730041500415410103
oct2660626275424464
9433412600253632
10100110100212020
1129997500783038
12b28a01200aa18
1343b245a32bcb2
141aa14d744003a
15b891605aea15
hex5b0cb2f62934

100110100212020 has 96 divisors (see below), whose sum is σ = 213844177612800. Its totient is φ = 39360566329344.

The previous prime is 100110100212019. The next prime is 100110100212047. The reversal of 100110100212020 is 20212001011001.

It is a junction number, because it is equal to n+sod(n) for n = 100110100211992 and 100110100212010.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 711752861 + ... + 711893499.

It is an arithmetic number, because the mean of its divisors is an integer number (2227543516800).

Almost surely, 2100110100212020 is an apocalyptic number.

100110100212020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100110100212020 is an abundant number, since it is smaller than the sum of its proper divisors (113734077400780).

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

100110100212020 is a wasteful number, since it uses less digits than its factorization.

100110100212020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 142737 (or 142735 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 11.

Adding to 100110100212020 its reverse (20212001011001), we get a palindrome (120322101223021).

The spelling of 100110100212020 in words is "one hundred trillion, one hundred ten billion, one hundred million, two hundred twelve thousand, twenty".

Divisors: 1 2 4 5 10 20 79 158 257 316 395 514 790 1028 1285 1580 1753 2570 3506 5140 7012 8765 17530 20303 35060 40606 81212 101515 138487 140639 203030 276974 281278 406060 450521 553948 562556 692435 703195 901042 1384870 1406390 1802084 2252605 2769740 2812780 4505210 9010420 11110481 22220962 35591159 36144223 44441924 55552405 71182318 72288446 111104810 142364636 144576892 177955795 180721115 222209620 246540167 355911590 361442230 493080334 711823180 722884460 986160668 1232700835 2465401670 2855393617 4930803340 5710787234 11421574468 14276968085 19476673193 28553936170 38953346386 57107872340 63360822919 77906692772 97383365965 126721645838 194766731930 253443291676 316804114595 389533463860 633608229190 1267216458380 5005505010601 10011010021202 20022020042404 25027525053005 50055050106010 100110100212020