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21002101020 = 22325297950929
BaseRepresentation
bin10011100011110100…
…101010000100011100
32000012200011021102100
4103203310222010130
5321003014213040
613352003525100
71342310625135
oct234364520434
960180137370
1021002101020
1189a815838a
1240a1689790
131c9919c214
14103341cc8c
1582dc14b30
hex4e3d2a11c

21002101020 has 144 divisors (see below), whose sum is σ = 66738672000. Its totient is φ = 5338884096.

The previous prime is 21002100997. The next prime is 21002101033. The reversal of 21002101020 is 2010120012.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 21002100993 and 21002101011.

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, 386916 + ... + 437844.

It is an arithmetic number, because the mean of its divisors is an integer number (463463000).

Almost surely, 221002101020 is an apocalyptic number.

21002101020 is a gapful number since it is divisible by the number (20) 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 21002101020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33369336000).

21002101020 is an abundant number, since it is smaller than the sum of its proper divisors (45736570980).

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

21002101020 is a wasteful number, since it uses less digits than its factorization.

21002101020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 51052 (or 51047 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

Adding to 21002101020 its reverse (2010120012), we get a palindrome (23012221032).

The spelling of 21002101020 in words is "twenty-one billion, two million, one hundred one thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 29 30 36 45 58 60 79 87 90 116 145 158 174 180 237 261 290 316 348 395 435 474 522 580 711 790 870 948 1044 1185 1305 1422 1580 1740 2291 2370 2610 2844 3555 4582 4740 5220 6873 7110 9164 11455 13746 14220 20619 22910 27492 34365 41238 45820 50929 68730 82476 101858 103095 137460 152787 203716 206190 254645 305574 412380 458361 509290 611148 763935 916722 1018580 1476941 1527870 1833444 2291805 2953882 3055740 4023391 4430823 4583610 5907764 7384705 8046782 8861646 9167220 12070173 13292469 14769410 16093564 17723292 20116955 22154115 24140346 26584938 29538820 36210519 40233910 44308230 48280692 53169876 60350865 66462345 72421038 80467820 88616460 116678339 120701730 132924690 144842076 181052595 233356678 241403460 265849380 350035017 362105190 466713356 583391695 700070034 724210380 1050105051 1166783390 1400140068 1750175085 2100210102 2333566780 3500350170 4200420204 5250525255 7000700340 10501050510 21002101020