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311033212020 = 223253164186959
BaseRepresentation
bin1001000011010110000…
…01100010110001110100
31002201211102212021022100
410201223001202301310
520043444000241040
6354515305102100
731320456452256
oct4415301426164
91081742767270
10311033212020
1110a9aa159843
1250344487930
132343a8b422b
14110a85b9cd6
15815610db30
hex486b062c74

311033212020 has 144 divisors (see below), whose sum is σ = 975432407040. Its totient is φ = 80140492800.

The previous prime is 311033212019. The next prime is 311033212027. The reversal of 311033212020 is 20212330113.

311033212020 is a `hidden beast` number, since 311 + 0 + 332 + 1 + 2 + 0 + 20 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 311033211984 and 311033212002.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (311033212027) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3533301 + ... + 3620259.

It is an arithmetic number, because the mean of its divisors is an integer number (6773836160).

Almost surely, 2311033212020 is an apocalyptic number.

311033212020 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 311033212020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (487716203520).

311033212020 is an abundant number, since it is smaller than the sum of its proper divisors (664399195020).

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

311033212020 is a wasteful number, since it uses less digits than its factorization.

311033212020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 87646 (or 87641 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 311033212020 its reverse (20212330113), we get a palindrome (331245542133).

The spelling of 311033212020 in words is "three hundred eleven billion, thirty-three million, two hundred twelve thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 31 36 45 60 62 90 93 124 155 180 186 279 310 372 465 558 620 641 930 1116 1282 1395 1860 1923 2564 2790 3205 3846 5580 5769 6410 7692 9615 11538 12820 19230 19871 23076 28845 38460 39742 57690 59613 79484 86959 99355 115380 119226 173918 178839 198710 238452 260877 298065 347836 357678 397420 434795 521754 596130 715356 782631 869590 894195 1043508 1192260 1304385 1565262 1739180 1788390 2608770 2695729 3130524 3576780 3913155 5217540 5391458 7826310 8087187 10782916 13478645 15652620 16174374 24261561 26957290 32348748 40435935 48523122 53914580 55740719 80871870 97046244 111481438 121307805 161743740 167222157 222962876 242615610 278703595 334444314 485231220 501666471 557407190 668888628 836110785 1003332942 1114814380 1672221570 1727962289 2006665884 2508332355 3344443140 3455924578 5016664710 5183886867 6911849156 8639811445 10033329420 10367773734 15551660601 17279622890 20735547468 25919434335 31103321202 34559245780 51838868670 62206642404 77758303005 103677737340 155516606010 311033212020