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323212213112103 = 327132111059351179
BaseRepresentation
bin100100101111101011011010…
…1001001100100110100100111
31120101101210012212002102122200
41021133112311021210310213
5314331002103024041403
63103225350233225543
7125036211642454650
oct11137266511446447
91511353185072580
10323212213112103
1193a925911a4307
12303008382622b3
1310b46a1c897963
1459b57a9ac2527
1527577586c7ca3
hex125f5b5264d27

323212213112103 has 48 divisors (see below), whose sum is σ = 534010376390400. Its totient is φ = 184535666916480.

The previous prime is 323212213112083. The next prime is 323212213112149. The reversal of 323212213112103 is 301211312212323.

323212213112103 is a `hidden beast` number, since 3 + 2 + 3 + 21 + 221 + 311 + 2 + 103 = 666.

It is not a de Polignac number, because 323212213112103 - 29 = 323212213111591 is a prime.

It is a super-2 number, since 2×3232122131121032 (a number of 30 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (323212213112003) 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, 920187568 + ... + 920538746.

It is an arithmetic number, because the mean of its divisors is an integer number (11125216174800).

Almost surely, 2323212213112103 is an apocalyptic number.

323212213112103 is a deficient number, since it is larger than the sum of its proper divisors (210798163278297).

323212213112103 is a wasteful number, since it uses less digits than its factorization.

323212213112103 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 363572 (or 363569 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

Adding to 323212213112103 its reverse (301211312212323), we get a palindrome (624423525324426).

The spelling of 323212213112103 in words is "three hundred twenty-three trillion, two hundred twelve billion, two hundred thirteen million, one hundred twelve thousand, one hundred three".

Divisors: 1 3 7 9 21 63 1321 3963 9247 11059 11889 27741 33177 77413 83223 99531 232239 351179 696717 1053537 2458253 3160611 7374759 14608939 22124277 43826817 102262573 131480451 306787719 463907459 920363157 1391722377 3247352213 3883688561 4175167131 9742056639 11651065683 27185819927 29226169917 34953197049 81557459781 244672379343 5130352589081 15391057767243 35912468123567 46173173301729 107737404370701 323212213112103