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311021002140 = 2235103186127043
BaseRepresentation
bin1001000011010100100…
…10111101110110011100
31002201210120212221111120
410201222102331312130
520043432334032030
6354514151250540
731320250620042
oct4415222756634
91081716787446
10311021002140
1110a9a327a332
1250340379a50
13234381ca854
14110a6b1c392
158154eeb010
hex486a4bdd9c

311021002140 has 96 divisors (see below), whose sum is σ = 879818774016. Its totient is φ = 82086531840.

The previous prime is 311021002093. The next prime is 311021002177. The reversal of 311021002140 is 41200120113.

It is a Harshad number since it is a multiple of its sum of digits (15).

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, 11487459 + ... + 11514501.

It is an arithmetic number, because the mean of its divisors is an integer number (9164778896).

Almost surely, 2311021002140 is an apocalyptic number.

311021002140 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 311021002140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (439909387008).

311021002140 is an abundant number, since it is smaller than the sum of its proper divisors (568797771876).

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

311021002140 is a wasteful number, since it uses less digits than its factorization.

311021002140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29019 (or 29017 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 15.

Adding to 311021002140 its reverse (41200120113), we get a palindrome (352221122253).

The spelling of 311021002140 in words is "three hundred eleven billion, twenty-one million, two thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 103 206 309 412 515 618 1030 1236 1545 1861 2060 3090 3722 5583 6180 7444 9305 11166 18610 22332 27043 27915 37220 54086 55830 81129 108172 111660 135215 162258 191683 270430 324516 383366 405645 540860 575049 766732 811290 958415 1150098 1622580 1916830 2300196 2785429 2875245 3833660 5570858 5750490 8356287 11141716 11500980 13927145 16712574 27854290 33425148 41781435 50327023 55708580 83562870 100654046 150981069 167125740 201308092 251635115 301962138 503270230 603924276 754905345 1006540460 1509810690 3019621380 5183683369 10367366738 15551050107 20734733476 25918416845 31102100214 51836833690 62204200428 77755250535 103673667380 155510501070 311021002140