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21032331201 = 327217107157167
BaseRepresentation
bin10011100101100111…
…111110011111000001
32000021210001010102200
4103211213332133001
5321033234044301
613355003503413
71343125602600
oct234547763701
960253033380
1021032331201
118a13225802
1240ab827b69
131ca2524bbb
14103744ba37
158316d6c86
hex4e59fe7c1

21032331201 has 144 divisors (see below), whose sum is σ = 38236738176. Its totient is φ = 11067743232.

The previous prime is 21032331191. The next prime is 21032331217. The reversal of 21032331201 is 10213323012.

It is not a de Polignac number, because 21032331201 - 29 = 21032330689 is a prime.

It is not an unprimeable number, because it can be changed into a prime (21032331101) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 125942020 + ... + 125942186.

It is an arithmetic number, because the mean of its divisors is an integer number (265532904).

Almost surely, 221032331201 is an apocalyptic number.

21032331201 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

21032331201 is a deficient number, since it is larger than the sum of its proper divisors (17204406975).

21032331201 is a wasteful number, since it uses less digits than its factorization.

21032331201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 468 (or 458 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 21032331201 its reverse (10213323012), we get a palindrome (31245654213).

The spelling of 21032331201 in words is "twenty-one billion, thirty-two million, three hundred thirty-one thousand, two hundred one".

Divisors: 1 3 7 9 17 21 49 51 63 107 119 147 153 157 167 321 357 441 471 501 749 833 963 1071 1099 1169 1413 1503 1819 2247 2499 2669 2839 3297 3507 5243 5457 6741 7497 7693 8007 8183 8517 9891 10521 12733 15729 16371 16799 17869 18683 19873 23079 24021 24549 25551 26219 38199 47187 50397 53607 56049 59619 69237 73647 78657 89131 114597 117593 125083 130781 139111 151191 160821 168147 178857 183533 235971 267393 285583 303773 352779 375249 392343 417333 445723 550599 802179 823151 856749 875581 911319 1058337 1125747 1177029 1251999 1284731 1337169 1651797 1999081 2126411 2469453 2570247 2626743 2733957 2805433 3120061 3854193 4011507 5997243 6379233 7408359 7880229 8416299 9360183 11562579 13993567 14884877 17991729 19137699 19638031 21840427 25248897 28080549 41980701 44654631 47692361 58914093 65521281 125942103 133963893 137466217 143077083 176742279 196563843 333846527 412398651 429231249 1001539581 1237195953 2336925689 3004618743 7010777067 21032331201