Search a number
-
+
311022212130 = 233571087151391
BaseRepresentation
bin1001000011010100101…
…11100101010000100010
31002201210200011102022000
410201222113211100202
520043433141242010
6354514233224430
731320264116520
oct4415227452042
91081720142260
10311022212130
1110a9a3a26423
1250340862116
1323438532516
14110a6d55310
1581551897c0
hex486a5e5422

311022212130 has 128 divisors (see below), whose sum is σ = 948755496960. Its totient is φ = 71024921280.

The previous prime is 311022212113. The next prime is 311022212161. The reversal of 311022212130 is 31212220113.

311022212130 is a `hidden beast` number, since 311 + 0 + 2 + 221 + 2 + 130 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1978735 + ... + 2130125.

It is an arithmetic number, because the mean of its divisors is an integer number (7412152320).

Almost surely, 2311022212130 is an apocalyptic number.

311022212130 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 311022212130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (474377748480).

311022212130 is an abundant number, since it is smaller than the sum of its proper divisors (637733284830).

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

311022212130 is a wasteful number, since it uses less digits than its factorization.

311022212130 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 152501 (or 152495 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 311022212130 its reverse (31212220113), we get a palindrome (342234432243).

The spelling of 311022212130 in words is "three hundred eleven billion, twenty-two million, two hundred twelve thousand, one hundred thirty".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 21 27 30 35 42 45 54 63 70 90 105 126 135 189 210 270 315 378 630 945 1087 1890 2174 3261 5435 6522 7609 9783 10870 15218 16305 19566 22827 29349 32610 38045 45654 48915 58698 68481 76090 97830 114135 136962 146745 151391 205443 228270 293490 302782 342405 410886 454173 684810 756955 908346 1027215 1059737 1362519 1513910 2054430 2119474 2270865 2725038 3179211 4087557 4541730 5298685 6358422 6812595 8175114 9537633 10597370 13625190 15896055 19075266 20437785 28612899 31792110 40875570 47688165 57225798 95376330 143064495 164562017 286128990 329124034 493686051 822810085 987372102 1151934119 1481058153 1645620170 2303868238 2468430255 2962116306 3455802357 4443174459 4936860510 5759670595 6911604714 7405290765 8886348918 10367407071 11519341190 14810581530 17279011785 20734814142 22215872295 31102221213 34558023570 44431744590 51837035355 62204442426 103674070710 155511106065 311022212130