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1100213013020 = 22511431033711251
BaseRepresentation
bin10000000000101001110…
…011100100101000011100
310220011211201212221122212
4100000221303210220130
5121011214012404040
62201233023055552
7142326206210522
oct20005163445034
93804751787585
101100213013020
11394663621910
1215928b1415b8
137c998c6a694
143b3718b6312
151d94452ad65
hex10029ce4a1c

1100213013020 has 96 divisors (see below), whose sum is σ = 2579582750976. Its totient is φ = 390700800000.

The previous prime is 1100213013013. The next prime is 1100213013041. The reversal of 1100213013020 is 203103120011.

It is a super-3 number, since 3×11002130130203 (a number of 37 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1100213012986 and 1100213013004.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 97782395 + ... + 97793645.

It is an arithmetic number, because the mean of its divisors is an integer number (26870653656).

Almost surely, 21100213013020 is an apocalyptic number.

1100213013020 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 1100213013020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1289791375488).

1100213013020 is an abundant number, since it is smaller than the sum of its proper divisors (1479369737956).

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

1100213013020 is a wasteful number, since it uses less digits than its factorization.

1100213013020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21651 (or 21649 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 14.

Adding to 1100213013020 its reverse (203103120011), we get a palindrome (1303316133031).

The spelling of 1100213013020 in words is "one trillion, one hundred billion, two hundred thirteen million, thirteen thousand, twenty".

Divisors: 1 2 4 5 10 11 20 22 43 44 55 86 110 172 215 220 430 473 860 946 1892 2365 4730 9460 10337 11251 20674 22502 41348 45004 51685 56255 103370 112510 113707 123761 206740 225020 227414 247522 444491 454828 483793 495044 568535 618805 888982 967586 1137070 1237610 1777964 1935172 2222455 2274140 2418965 2475220 4444910 4837930 4889401 5321723 8889820 9675860 9778802 10643446 19557604 21286892 24447005 26608615 48894010 53217230 97788020 106434460 116301587 232603174 465206348 581507935 1163015870 1279317457 2326031740 2558634914 5000968241 5117269828 6396587285 10001936482 12793174570 20003872964 25004841205 25586349140 50009682410 55010650651 100019364820 110021301302 220042602604 275053253255 550106506510 1100213013020