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311020030320 = 24351976189627
BaseRepresentation
bin1001000011010100011…
…11010000100101110000
31002201210112001120102020
410201222033100211300
520043432111432240
6354514114351440
731320236431536
oct4415217204560
91081715046366
10311020030320
1110a9a277617a
125033bb8b580
1323437c4a3cc
14110a6948156
158154da80d0
hex486a3d0970

311020030320 has 160 divisors (see below), whose sum is σ = 1016252455680. Its totient is φ = 78469355520.

The previous prime is 311020030319. The next prime is 311020030333. The reversal of 311020030320 is 23030020113.

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

It is a self number, because there is not a number n which added to its sum of digits gives 311020030320.

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, 3425347 + ... + 3514973.

It is an arithmetic number, because the mean of its divisors is an integer number (6351577848).

Almost surely, 2311020030320 is an apocalyptic number.

311020030320 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 311020030320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (508126227840).

311020030320 is an abundant number, since it is smaller than the sum of its proper divisors (705232425360).

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

311020030320 is a wasteful number, since it uses less digits than its factorization.

311020030320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 90423 (or 90417 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 15.

Adding to 311020030320 its reverse (23030020113), we get a palindrome (334050050433).

The spelling of 311020030320 in words is "three hundred eleven billion, twenty million, thirty thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 19 20 24 30 38 40 48 57 60 76 80 95 114 120 152 190 228 240 285 304 380 456 570 760 761 912 1140 1520 1522 2280 2283 3044 3805 4560 4566 6088 7610 9132 11415 12176 14459 15220 18264 22830 28918 30440 36528 43377 45660 57836 60880 72295 86754 89627 91320 115672 144590 173508 179254 182640 216885 231344 268881 289180 347016 358508 433770 448135 537762 578360 694032 717016 867540 896270 1075524 1156720 1344405 1434032 1702913 1735080 1792540 2151048 2688810 3405826 3470160 3585080 4302096 5108739 5377620 6811652 7170160 8514565 10217478 10755240 13623304 17029130 20434956 21510480 25543695 27246608 34058260 40869912 51087390 68116520 68206147 81739824 102174780 136233040 136412294 204349560 204618441 272824588 341030735 408699120 409236882 545649176 682061470 818473764 1023092205 1091298352 1295916793 1364122940 1636947528 2046184410 2591833586 2728245880 3273895056 3887750379 4092368820 5183667172 5456491760 6479583965 7775500758 8184737640 10367334344 12959167930 15551001516 16369475280 19438751895 20734668688 25918335860 31102003032 38877503790 51836671720 62204006064 77755007580 103673343440 155510015160 311020030320