Search a number
-
+
21241002120 = 23351319716633
BaseRepresentation
bin10011110010000011…
…111111100010001000
32000211022200201010020
4103302003333202020
5322000144031440
613431420220440
71351241352612
oct236203774210
960738621106
1021241002120
11900aaa0308
12414969a720
132006826b10
141057049db2
15844ba53d0
hex4f20ff888

21241002120 has 128 divisors (see below), whose sum is σ = 72236707200. Its totient is φ = 4953360384.

The previous prime is 21241002109. The next prime is 21241002149. The reversal of 21241002120 is 2120014212.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 21241002120.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 328677 + ... + 387956.

It is an arithmetic number, because the mean of its divisors is an integer number (564349275).

Almost surely, 221241002120 is an apocalyptic number.

21241002120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21241002120 is an abundant number, since it is smaller than the sum of its proper divisors (50995705080).

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

21241002120 is a wasteful number, since it uses less digits than its factorization.

21241002120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 716679 (or 716675 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

Adding to 21241002120 its reverse (2120014212), we get a palindrome (23361016332).

The spelling of 21241002120 in words is "twenty-one billion, two hundred forty-one million, two thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 19 20 24 26 30 38 39 40 52 57 60 65 76 78 95 104 114 120 130 152 156 190 195 228 247 260 285 312 380 390 456 494 520 570 741 760 780 988 1140 1235 1482 1560 1976 2280 2470 2964 3705 4940 5928 7410 9880 14820 29640 716633 1433266 2149899 2866532 3583165 4299798 5733064 7166330 8599596 9316229 10749495 13616027 14332660 17199192 18632458 21498990 27232054 27948687 28665320 37264916 40848081 42997980 46581145 54464108 55897374 68080135 74529832 81696162 85995960 93162290 108928216 111794748 136160270 139743435 163392324 177008351 186324580 204240405 223589496 272320540 279486870 326784648 354016702 372649160 408480810 531025053 544641080 558973740 708033404 816961620 885041755 1062050106 1117947480 1416066808 1633923240 1770083510 2124100212 2655125265 3540167020 4248200424 5310250530 7080334040 10620501060 21241002120