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2212011301000 = 235319119076073
BaseRepresentation
bin100000001100000110001…
…001011101100010001000
321211110120212111211212111
4200030012021131202020
5242220144343113000
64412103422552104
7315545462554234
oct40140611354210
97743525454774
102212011301000
11783121792226
122b8852138634
13130790173b37
14790c1c915c4
153c815ba5cba
hex2030625d888

2212011301000 has 128 divisors (see below), whose sum is σ = 5206792181760. Its totient is φ = 879565632000.

The previous prime is 2212011300977. The next prime is 2212011301007. The reversal of 2212011301000 is 1031102122.

It is not an unprimeable number, because it can be changed into a prime (2212011301007) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 364233964 + ... + 364240036.

It is an arithmetic number, because the mean of its divisors is an integer number (40678063920).

Almost surely, 22212011301000 is an apocalyptic number.

2212011301000 is a gapful number since it is divisible by the number (20) 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 2212011301000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2603396090880).

2212011301000 is an abundant number, since it is smaller than the sum of its proper divisors (2994780880760).

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

2212011301000 is a wasteful number, since it uses less digits than its factorization.

2212011301000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8192 (or 8178 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 13.

Adding to 2212011301000 its reverse (1031102122), we get a palindrome (2213042403122).

The spelling of 2212011301000 in words is "two trillion, two hundred twelve billion, eleven million, three hundred one thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 125 191 200 250 382 500 764 955 1000 1528 1907 1910 3814 3820 4775 6073 7628 7640 9535 9550 12146 15256 19070 19100 23875 24292 30365 38140 38200 47675 47750 48584 60730 76280 95350 95500 121460 151825 190700 191000 238375 242920 303650 364237 381400 476750 607300 728474 759125 953500 1159943 1214600 1456948 1518250 1821185 1907000 2319886 2913896 3036500 3642370 4639772 5799715 6073000 7284740 9105925 9279544 11581211 11599430 14569480 18211850 23162422 23198860 28998575 36423700 45529625 46324844 46397720 57906055 57997150 72847400 91059250 92649688 115812110 115994300 144992875 182118500 231624220 231988600 289530275 289985750 364237000 463248440 579060550 579971500 1158121100 1159943000 1447651375 2212011301 2316242200 2895302750 4424022602 5790605500 8848045204 11060056505 11581211000 17696090408 22120113010 44240226020 55300282525 88480452040 110600565050 221201130100 276501412625 442402260200 553002825250 1106005650500 2212011301000