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100011210101020 = 225103199736933107
BaseRepresentation
bin10110101111010110101100…
…101001101101000100011100
3111010002222102012002122221101
4112233112230221231010130
5101102040424241213040
6552412303214042444
730031400006342431
oct2657265451550434
9433088365078841
10100011210101020
11299595748a6a79
12b272a13aa9424
1343a602a75340a
141a9a7d5973b88
15b867c3a1109a
hex5af5aca6d11c

100011210101020 has 96 divisors (see below), whose sum is σ = 213163606656000. Its totient is φ = 39410475692544.

The previous prime is 100011210100979. The next prime is 100011210101053. The reversal of 100011210101020 is 20101012110001.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a junction number, because it is equal to n+sod(n) for n = 100011210100988 and 100011210101006.

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, 3020831307 + ... + 3020864413.

It is an arithmetic number, because the mean of its divisors is an integer number (2220454236000).

Almost surely, 2100011210101020 is an apocalyptic number.

100011210101020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100011210101020 is an abundant number, since it is smaller than the sum of its proper divisors (113152396554980).

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

100011210101020 is a wasteful number, since it uses less digits than its factorization.

100011210101020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40787 (or 40785 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 10.

Adding to 100011210101020 its reverse (20101012110001), we get a palindrome (120112222211021).

The spelling of 100011210101020 in words is "one hundred trillion, eleven billion, two hundred ten million, one hundred one thousand, twenty".

Divisors: 1 2 4 5 10 20 103 199 206 398 412 515 796 995 1030 1990 2060 3980 7369 14738 20497 29476 33107 36845 40994 66214 73690 81988 102485 132428 147380 165535 204970 331070 409940 662140 759007 1466431 1518014 2932862 3036028 3410021 3795035 5865724 6588293 6820042 7332155 7590070 13176586 13640084 14664310 15180140 17050105 26353172 29328620 32941465 34100210 65882930 68200420 131765860 151042393 243965483 302084786 487930966 604169572 678594179 755211965 975861932 1219827415 1357188358 1510423930 2439654830 2714376716 3020847860 3392970895 4879309660 6785941790 13571883580 25128444749 48549131117 50256889498 97098262234 100513778996 125642223745 194196524468 242745655585 251284447490 485491311170 502568894980 970982622340 5000560505051 10001121010102 20002242020204 25002802525255 50005605050510 100011210101020