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311441122230042 = 237179503357123063
BaseRepresentation
bin100011011010000010000100…
…1011101010111111100011010
31111211201110222021220100212110
41012310010021131113330122
5311310122404242330132
63022214024300053150
7122412610225026060
oct10664041135277432
91454643867810773
10311441122230042
1190264490277912
122ab1b4618341b6
13104a1a058818ac
1456c9b8b7c6030
152601471bc11cc
hex11b4109757f1a

311441122230042 has 128 divisors (see below), whose sum is σ = 717497437224960. Its totient is φ = 88281590604480.

The previous prime is 311441122230037. The next prime is 311441122230053. The reversal of 311441122230042 is 240032221144113.

It is a happy number.

It is a super-2 number, since 2×3114411222300422 (a number of 30 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 311441122229991 and 311441122230009.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 13503917803 + ... + 13503940865.

It is an arithmetic number, because the mean of its divisors is an integer number (5605448728320).

Almost surely, 2311441122230042 is an apocalyptic number.

311441122230042 is an abundant number, since it is smaller than the sum of its proper divisors (406056314994918).

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

311441122230042 is a wasteful number, since it uses less digits than its factorization.

311441122230042 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27328.

The product of its (nonzero) digits is 9216, while the sum is 30.

Adding to 311441122230042 its reverse (240032221144113), we get a palindrome (551473343374155).

The spelling of 311441122230042 in words is "three hundred eleven trillion, four hundred forty-one billion, one hundred twenty-two million, two hundred thirty thousand, forty-two".

Divisors: 1 2 3 6 7 14 21 42 179 358 503 537 1006 1074 1253 1509 2506 3018 3521 3571 3759 7042 7142 7518 10563 10713 21126 21426 23063 24997 46126 49994 69189 74991 90037 138378 149982 161441 180074 270111 322882 484323 540222 630259 639209 968646 1260518 1278418 1796213 1890777 1917627 3592426 3781554 3835254 4128277 4474463 5388639 8256554 8948926 10777278 11600689 12384831 12573491 13423389 23201378 24769662 25146982 26846778 28897939 34802067 37720473 57795878 69604134 75440946 81204823 82357973 86693817 162409646 164715946 173387634 243614469 247073919 321522127 487228938 494147838 576505811 643044254 964566381 1153011622 1729517433 1929132762 2076523331 2250654889 3459034866 4153046662 4501309778 6229569993 6751964667 12459139986 13503929334 14535663317 14742077167 29071326634 29484154334 41426060419 43606989951 44226231501 82852120838 87213979902 88452463002 103194540169 124278181257 206389080338 248556362514 289982422933 309583620507 579964845866 619167241014 869947268799 1739894537598 7415264815001 14830529630002 22245794445003 44491588890006 51906853705007 103813707410014 155720561115021 311441122230042