Search a number
-
+
323213312223100 = 2252139712347207593
BaseRepresentation
bin100100101111101011111011…
…0101010010110011101111100
31120101101220001110021001111101
41021133113312222112131330
5314331011330412114400
63103230051255102444
7125036251116656125
oct11137276652263574
91511356043231441
10323213312223100
1193a92aa5661702
1230300aa4371a24
1310b46b664c6ab0
1459b5871a6d04c
1527577bee3556a
hex125f5f6a9677c

323213312223100 has 144 divisors (see below), whose sum is σ = 763176981859488. Its totient is φ = 118099852738560.

The previous prime is 323213312222963. The next prime is 323213312223143. The reversal of 323213312223100 is 1322213312323.

It is a happy number.

It is a super-2 number, since 2×3232133122231002 (a number of 30 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1556852904 + ... + 1557060496.

It is an arithmetic number, because the mean of its divisors is an integer number (5299840151802).

Almost surely, 2323213312223100 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 323213312223100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (381588490929744).

323213312223100 is an abundant number, since it is smaller than the sum of its proper divisors (439963669636388).

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

323213312223100 is a wasteful number, since it uses less digits than its factorization.

323213312223100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 220064 (or 220057 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 28.

Adding to 323213312223100 its reverse (1322213312323), we get a palindrome (324535525535423).

It can be divided in two parts, 323213312223 and 100, that added together give a palindrome (323213312323).

The spelling of 323213312223100 in words is "three hundred twenty-three trillion, two hundred thirteen billion, three hundred twelve million, two hundred twenty-three thousand, one hundred".

Divisors: 1 2 4 5 10 13 20 25 26 50 52 65 97 100 130 194 260 325 388 485 650 970 1261 1300 1940 2425 2522 4850 5044 6305 9700 12347 12610 24694 25220 31525 49388 61735 63050 123470 126100 160511 207593 246940 308675 321022 415186 617350 642044 802555 830372 1037965 1197659 1234700 1605110 2075930 2395318 2698709 3210220 4012775 4151860 4790636 5189825 5397418 5988295 8025550 10379650 10794836 11976590 13493545 15569567 16051100 20136521 20759300 23953180 26987090 29941475 31139134 40273042 53974180 59882950 62278268 67467725 77847835 80546084 100682605 119765900 134935450 155695670 201365210 261774773 269870900 311391340 389239175 402730420 503413025 523549546 778478350 1006826050 1047099092 1308873865 1556956700 2013652100 2563150771 2617747730 5126301542 5235495460 6544369325 10252603084 12815753855 13088738650 25631507710 26177477300 33320960023 51263015420 64078769275 66641920046 128157538550 133283840092 166604800115 248625624787 256315077100 333209600230 497251249574 666419200460 833024000575 994502499148 1243128123935 1666048001150 2486256247870 3232133122231 3332096002300 4972512495740 6215640619675 6464266244462 12431281239350 12928532488924 16160665611155 24862562478700 32321331222310 64642662444620 80803328055775 161606656111550 323213312223100