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21121101021020 = 225721113150714293
BaseRepresentation
bin1001100110101101000111…
…01110010011111101011100
32202210011020211211012112112
410303112203232103331130
510232022003330133040
6112530522211453152
74306643400331100
oct463264356237534
982704224735475
1021121101021020
11680345499a480
1224514b1bb71b8
13ba29328b4260
145303a3d33900
1526961d08b365
hex1335a3b93f5c

21121101021020 has 144 divisors (see below), whose sum is σ = 60616083332448. Its totient is φ = 6076800253440.

The previous prime is 21121101020983. The next prime is 21121101021043. The reversal of 21121101021020 is 2012010112112.

It is a super-2 number, since 2×211211010210202 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a junction number, because it is equal to n+sod(n) for n = 21121101020986 and 21121101021004.

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, 75217007 + ... + 75497286.

It is an arithmetic number, because the mean of its divisors is an integer number (420945023142).

Almost surely, 221121101021020 is an apocalyptic number.

21121101021020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21121101021020 is an abundant number, since it is smaller than the sum of its proper divisors (39494982311428).

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

21121101021020 is a wasteful number, since it uses less digits than its factorization.

21121101021020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 150714340 (or 150714331 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 21121101021020 its reverse (2012010112112), we get a palindrome (23133111133132).

The spelling of 21121101021020 in words is "twenty-one trillion, one hundred twenty-one billion, one hundred one million, twenty-one thousand, twenty".

Divisors: 1 2 4 5 7 10 11 13 14 20 22 26 28 35 44 49 52 55 65 70 77 91 98 110 130 140 143 154 182 196 220 245 260 286 308 364 385 455 490 539 572 637 715 770 910 980 1001 1078 1274 1430 1540 1820 2002 2156 2548 2695 2860 3185 4004 5005 5390 6370 7007 10010 10780 12740 14014 20020 28028 35035 70070 140140 150714293 301428586 602857172 753571465 1055000051 1507142930 1657857223 1959285809 2110000102 3014285860 3315714446 3918571618 4220000204 5275000255 6631428892 7385000357 7837143236 8289286115 9796429045 10550000510 11605000561 13715000663 14770000714 16578572230 19592858090 21100001020 21552143899 23210001122 27430001326 29540001428 33157144460 36925001785 39185716180 43104287798 46420002244 54860002652 58025002805 68575003315 73850003570 81235003927 86208575596 96005004641 107760719495 116050005610 137150006630 147700007140 150865007293 162470007854 192010009282 215521438990 232100011220 274300013260 301730014586 324940015708 384020018564 406175019635 431042877980 480025023205 603460029172 754325036465 812350039270 960050046410 1056055051051 1508650072930 1624700078540 1920100092820 2112110102102 3017300145860 4224220204204 5280275255255 10560550510510 21121101021020