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311220202102230 = 235293129221273997
BaseRepresentation
bin100011011000011011001100…
…1100101111101110111010110
31111210221100201222201002001110
41012300312121211331313112
5311243012433214232410
63021524330451035450
7122360626506645561
oct10660663145756726
91453840658632043
10311220202102230
1190189823657a93
122aaa4687b9bb86
1310486c29364a85
1456bd1d11434d8
1525ea841d2a720
hex11b0d9997ddd6

311220202102230 has 64 divisors (see below), whose sum is σ = 749486264361408. Its totient is φ = 82707862648320.

The previous prime is 311220202102207. The next prime is 311220202102279. The reversal of 311220202102230 is 32201202022113.

It is a super-2 number, since 2×3112202021022302 (a number of 30 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 311220202102197 and 311220202102206.

It is a congruent number.

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, 1135715592 + ... + 1135989588.

It is an arithmetic number, because the mean of its divisors is an integer number (11710722880647).

Almost surely, 2311220202102230 is an apocalyptic number.

311220202102230 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

311220202102230 is an abundant number, since it is smaller than the sum of its proper divisors (438266062259178).

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

311220202102230 is a wasteful number, since it uses less digits than its factorization.

311220202102230 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 403521.

The product of its (nonzero) digits is 576, while the sum is 21.

Adding to 311220202102230 its reverse (32201202022113), we get a palindrome (343421404124343).

The spelling of 311220202102230 in words is "three hundred eleven trillion, two hundred twenty billion, two hundred two million, one hundred two thousand, two hundred thirty".

Divisors: 1 2 3 5 6 10 15 30 293 586 879 1465 1758 2930 4395 8790 129221 258442 273997 387663 547994 646105 775326 821991 1292210 1369985 1643982 1938315 2739970 3876630 4109955 8219910 37861753 75723506 80281121 113585259 160562242 189308765 227170518 240843363 378617530 401405605 481686726 567926295 802811210 1135852590 1204216815 2408433630 35406166337 70812332674 106218499011 177030831685 212436998022 354061663370 531092495055 1062184990110 10374006736741 20748013473482 31122020210223 51870033683705 62244040420446 103740067367410 155610101051115 311220202102230