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211012113000 = 23353135410567
BaseRepresentation
bin1100010010000101001…
…1010101001001101000
3202011122210111222122110
43010201103111021220
511424123100104000
6240534305522320
721150035236503
oct3044123251150
9664583458573
10211012113000
1181542922737
1234a8b6433a0
1316b8a8c8080
14a2da82613a
155750107850
hex31214d5268

211012113000 has 128 divisors (see below), whose sum is σ = 709000830720. Its totient is φ = 51941433600.

The previous prime is 211012112951. The next prime is 211012113001. The reversal of 211012113000 is 311210112.

It is a super-2 number, since 2×2110121130002 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is not an unprimeable number, because it can be changed into a prime (211012113001) 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, 2666284 + ... + 2744283.

It is an arithmetic number, because the mean of its divisors is an integer number (5539068990).

Almost surely, 2211012113000 is an apocalyptic number.

211012113000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

211012113000 is an abundant number, since it is smaller than the sum of its proper divisors (497988717720).

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

211012113000 is a wasteful number, since it uses less digits than its factorization.

211012113000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5410604 (or 5410590 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 12.

Adding to 211012113000 its reverse (311210112), we get a palindrome (211323323112).

The spelling of 211012113000 in words is "two hundred eleven billion, twelve million, one hundred thirteen thousand".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 20 24 25 26 30 39 40 50 52 60 65 75 78 100 104 120 125 130 150 156 195 200 250 260 300 312 325 375 390 500 520 600 650 750 780 975 1000 1300 1500 1560 1625 1950 2600 3000 3250 3900 4875 6500 7800 9750 13000 19500 39000 5410567 10821134 16231701 21642268 27052835 32463402 43284536 54105670 64926804 70337371 81158505 108211340 129853608 135264175 140674742 162317010 211012113 216422680 270528350 281349484 324634020 351686855 405792525 422024226 541056700 562698968 649268040 676320875 703373710 811585050 844048452 1055060565 1082113400 1352641750 1406747420 1623170100 1688096904 1758434275 2028962625 2110121130 2705283500 2813494840 3246340200 3516868550 4057925250 4220242260 5275302825 5410567000 7033737100 8115850500 8440484520 8792171375 10550605650 14067474200 16231701000 17584342750 21101211300 26376514125 35168685500 42202422600 52753028250 70337371000 105506056500 211012113000