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21141242320 = 24511113433491
BaseRepresentation
bin10011101100000111…
…011100000111010000
32000120100222101101211
4103230013130013100
5321244124223240
613413454105504
71345620410662
oct235407340720
960510871354
1021141242320
118a697532a0
1241201ab294
131cbbc68753
141047abc532
1583b04bbea
hex4ec1dc1d0

21141242320 has 160 divisors (see below), whose sum is σ = 54331772544. Its totient is φ = 7586611200.

The previous prime is 21141242293. The next prime is 21141242333. The reversal of 21141242320 is 2324214112.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a junction number, because it is equal to n+sod(n) for n = 21141242291 and 21141242300.

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, 43057275 + ... + 43057765.

Almost surely, 221141242320 is an apocalyptic number.

21141242320 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 21141242320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27165886272).

21141242320 is an abundant number, since it is smaller than the sum of its proper divisors (33190530224).

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

21141242320 is a wasteful number, since it uses less digits than its factorization.

21141242320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1061 (or 1055 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 22.

Adding to 21141242320 its reverse (2324214112), we get a palindrome (23465456432).

The spelling of 21141242320 in words is "twenty-one billion, one hundred forty-one million, two hundred forty-two thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 11 16 20 22 40 44 55 80 88 110 113 176 220 226 433 440 452 491 565 866 880 904 982 1130 1243 1732 1808 1964 2165 2260 2455 2486 3464 3928 4330 4520 4763 4910 4972 5401 6215 6928 7856 8660 9040 9526 9820 9944 10802 12430 17320 19052 19640 19888 21604 23815 24860 27005 34640 38104 39280 43208 47630 48929 49720 54010 55483 76208 86416 95260 97858 99440 108020 110966 190520 195716 212603 216040 221932 244645 277415 381040 391432 425206 432080 443864 489290 538219 554830 610313 782864 850412 887728 978580 1063015 1076438 1109660 1220626 1700824 1957160 2126030 2152876 2219320 2338633 2441252 2691095 3051565 3401648 3914320 4252060 4305752 4438640 4677266 4882504 5382190 6103130 8504120 8611504 9354532 9765008 10764380 11693165 12206260 17008240 18709064 21528760 23386330 24024139 24412520 37418128 43057520 46772660 48048278 48825040 93545320 96096556 120120695 187090640 192193112 240241390 264265529 384386224 480482780 528531058 960965560 1057062116 1321327645 1921931120 2114124232 2642655290 4228248464 5285310580 10570621160 21141242320