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122313103302 = 23134167599953
BaseRepresentation
bin111000111101001101…
…1011101011111000110
3102200201012200102201010
41301322123131133012
54000444123301202
6132105002143050
711560014136545
oct1617233353706
9380635612633
10122313103302
1147966615945
121b8564b1a86
13b6c3499750
145cc462615c
1532ad0b476c
hex1c7a6dd7c6

122313103302 has 128 divisors (see below), whose sum is σ = 274642099200. Its totient is φ = 36070594560.

The previous prime is 122313103277. The next prime is 122313103333. The reversal of 122313103302 is 203301313221.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 128344858 + ... + 128345810.

It is an arithmetic number, because the mean of its divisors is an integer number (2145641400).

Almost surely, 2122313103302 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 122313103302, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137321049600).

122313103302 is an abundant number, since it is smaller than the sum of its proper divisors (152328995898).

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

122313103302 is a wasteful number, since it uses less digits than its factorization.

122313103302 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1678.

The product of its (nonzero) digits is 648, while the sum is 21.

Adding to 122313103302 its reverse (203301313221), we get a palindrome (325614416523).

The spelling of 122313103302 in words is "one hundred twenty-two billion, three hundred thirteen million, one hundred three thousand, three hundred two".

Divisors: 1 2 3 6 13 26 39 41 67 78 82 123 134 201 246 402 533 599 871 953 1066 1198 1599 1742 1797 1906 2613 2747 2859 3198 3594 5226 5494 5718 7787 8241 12389 15574 16482 23361 24559 24778 35711 37167 39073 40133 46722 49118 63851 71422 73677 74334 78146 80266 107133 117219 120399 127702 147354 191553 214266 234438 240798 319267 383106 507949 521729 570847 638534 830063 957801 1015898 1043458 1141694 1523847 1565187 1645453 1660126 1712541 1915602 2490189 2617891 3047694 3130374 3290906 3425082 4936359 4980378 5235782 7421011 7853673 9872718 14842022 15707346 21390889 22263033 23404727 34032583 38246749 42781778 44526066 46809454 64172667 68065166 70214181 76493498 102097749 114740247 128345334 140428362 204195498 229480494 304261451 497207737 608522902 912784353 994415474 1491623211 1568116709 1825568706 2983246422 3136233418 4704350127 9408700254 20385517217 40771034434 61156551651 122313103302