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212210103330 = 232529121766809
BaseRepresentation
bin1100010110100010110…
…1010011010000100010
3202021202021202012102200
43011220231103100202
511434101241301310
6241253222554030
721221523054621
oct3055055232042
9667667665380
10212210103330
1181aa8086595
1235164898916
131701bb678a4
14a3b19916b8
1557c03979c0
hex3168b53422

212210103330 has 96 divisors (see below), whose sum is σ = 571249551600. Its totient is φ = 54592290816.

The previous prime is 212210103319. The next prime is 212210103331. The reversal of 212210103330 is 33301012212.

212210103330 is a `hidden beast` number, since 21 + 2 + 210 + 103 + 330 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 27476046081 + 184734057249 = 165759^2 + 429807^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (212210103331) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3142966 + ... + 3209774.

Almost surely, 2212210103330 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 212210103330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (285624775800).

212210103330 is an abundant number, since it is smaller than the sum of its proper divisors (359039448270).

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

212210103330 is a wasteful number, since it uses less digits than its factorization.

212210103330 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 68068 (or 68065 counting only the distinct ones).

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

Adding to 212210103330 its reverse (33301012212), we get a palindrome (245511115542).

The spelling of 212210103330 in words is "two hundred twelve billion, two hundred ten million, one hundred three thousand, three hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 29 30 45 58 87 90 145 174 261 290 435 522 870 1217 1305 2434 2610 3651 6085 7302 10953 12170 18255 21906 35293 36510 54765 66809 70586 105879 109530 133618 176465 200427 211758 317637 334045 352930 400854 529395 601281 635274 668090 1002135 1058790 1202562 1588185 1937461 2004270 3006405 3176370 3874922 5812383 6012810 9687305 11624766 17437149 19374610 29061915 34874298 58123830 81306553 87185745 162613106 174371490 243919659 406532765 487839318 731758977 813065530 1219598295 1463517954 2357890037 2439196590 3658794885 4715780074 7073670111 7317589770 11789450185 14147340222 21221010333 23578900370 35368350555 42442020666 70736701110 106105051665 212210103330