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21120321040 = 245731359207
BaseRepresentation
bin10011101010110111…
…101000011000010000
32000111220121110210121
4103222313220120100
5321223300233130
613411425440024
71345244524000
oct235267503020
960456543717
1021120321040
118a58963885
1241151a0014
131cb7821bb0
141044dd4000
158392b7d7a
hex4eade8610

21120321040 has 160 divisors (see below), whose sum is σ = 61671052800. Its totient is φ = 6684120576.

The previous prime is 21120321023. The next prime is 21120321071. The reversal of 21120321040 is 4012302112.

It is a Harshad number since it is a multiple of its sum of digits (16).

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, 327117 + ... + 386323.

It is an arithmetic number, because the mean of its divisors is an integer number (385444080).

Almost surely, 221120321040 is an apocalyptic number.

21120321040 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 21120321040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30835526400).

21120321040 is an abundant number, since it is smaller than the sum of its proper divisors (40550731760).

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

21120321040 is a wasteful number, since it uses less digits than its factorization.

21120321040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 59254 (or 59234 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

Adding to 21120321040 its reverse (4012302112), we get a palindrome (25132623152).

The spelling of 21120321040 in words is "twenty-one billion, one hundred twenty million, three hundred twenty-one thousand, forty".

Divisors: 1 2 4 5 7 8 10 13 14 16 20 26 28 35 40 49 52 56 65 70 80 91 98 104 112 130 140 182 196 208 245 260 280 343 364 392 455 490 520 560 637 686 728 784 910 980 1040 1274 1372 1456 1715 1820 1960 2548 2744 3185 3430 3640 3920 4459 5096 5488 6370 6860 7280 8918 10192 12740 13720 17836 22295 25480 27440 35672 44590 50960 59207 71344 89180 118414 178360 236828 296035 356720 414449 473656 592070 769691 828898 947312 1184140 1539382 1657796 2072245 2368280 2901143 3078764 3315592 3848455 4144490 4736560 5387837 5802286 6157528 6631184 7696910 8288980 10775674 11604572 12315056 14505715 15393820 16577960 20308001 21551348 23209144 26939185 29011430 30787640 33155920 37714859 40616002 43102696 46418288 53878370 58022860 61575280 75429718 81232004 86205392 101540005 107756740 116045720 150859436 162464008 188574295 203080010 215513480 232091440 264004013 301718872 324928016 377148590 406160020 431026960 528008026 603437744 754297180 812320040 1056016052 1320020065 1508594360 1624640080 2112032104 2640040130 3017188720 4224064208 5280080260 10560160520 21120321040