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311204342242020 = 2235231505314981093
BaseRepresentation
bin100011011000010011110100…
…0010001011001101011100100
31111210212211210200120200220110
41012300213220101121223210
5311242232443103221040
63021513145015133020
7122356525466240223
oct10660475021315344
91453784720520813
10311204342242020
119018302512a2a7
122aaa15a0674170
131048559c6376c6
1456bc528a50cba
1525ea2147b7980
hex11b09e8459ae4

311204342242020 has 96 divisors (see below), whose sum is σ = 909318368754432. Its totient is φ = 79374379667968.

The previous prime is 311204342242019. The next prime is 311204342242039. The reversal of 311204342242020 is 20242243402113.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 13282594 + ... + 28263686.

It is an arithmetic number, because the mean of its divisors is an integer number (9472066341192).

Almost surely, 2311204342242020 is an apocalyptic number.

311204342242020 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

311204342242020 is an abundant number, since it is smaller than the sum of its proper divisors (598114026512412).

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

311204342242020 is a wasteful number, since it uses less digits than its factorization.

311204342242020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14996181 (or 14996179 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 30.

Adding to 311204342242020 its reverse (20242243402113), we get a palindrome (331446585644133).

The spelling of 311204342242020 in words is "three hundred eleven trillion, two hundred four billion, three hundred forty-two million, two hundred forty-two thousand, twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 23 30 46 60 69 92 115 138 230 276 345 460 690 1380 15053 30106 45159 60212 75265 90318 150530 180636 225795 301060 346219 451590 692438 903180 1038657 1384876 1731095 2077314 3462190 4154628 5193285 6924380 10386570 14981093 20773140 29962186 44943279 59924372 74905465 89886558 149810930 179773116 224716395 299621860 344565139 449432790 689130278 898865580 1033695417 1378260556 1722825695 2067390834 3445651390 4134781668 5168477085 6891302780 10336954170 20673908340 225510392929 451020785858 676531178787 902041571716 1127551964645 1353062357574 2255103929290 2706124715148 3382655893935 4510207858580 5186739037367 6765311787870 10373478074734 13530623575740 15560217112101 20746956149468 25933695186835 31120434224202 51867390373670 62240868448404 77801085560505 103734780747340 155602171121010 311204342242020