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212100000101000 = 235311101190909091
BaseRepresentation
bin110000001110011101100001…
…001010011011001010001000
31000210222120011200112122011022
4300032131201022123022020
5210300021300011213000
62031033221144452012
762450501504216144
oct6016354112331210
91023876150478138
10212100000101000
1161644117692120
121b956498a7a008
139146c374c515b
143a539a268c224
15197c31b219585
hexc0e76129b288

212100000101000 has 128 divisors (see below), whose sum is σ = 546794184942720. Its totient is φ = 76363636000000.

The previous prime is 212100000100973. The next prime is 212100000101023. The reversal of 212100000101000 is 101000001212.

It is a Harshad number since it is a multiple of its sum of digits (8).

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, 94343546 + ... + 96565545.

It is an arithmetic number, because the mean of its divisors is an integer number (4271829569865).

Almost surely, 2212100000101000 is an apocalyptic number.

212100000101000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

212100000101000 is an abundant number, since it is smaller than the sum of its proper divisors (334694184841720).

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

212100000101000 is a wasteful number, since it uses less digits than its factorization.

212100000101000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 190909224 (or 190909210 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 8.

Adding to 212100000101000 its reverse (101000001212), we get a palindrome (212201000102212).

The spelling of 212100000101000 in words is "two hundred twelve trillion, one hundred billion, one hundred one thousand".

Divisors: 1 2 4 5 8 10 11 20 22 25 40 44 50 55 88 100 101 110 125 200 202 220 250 275 404 440 500 505 550 808 1000 1010 1100 1111 1375 2020 2200 2222 2525 2750 4040 4444 5050 5500 5555 8888 10100 11000 11110 12625 20200 22220 25250 27775 44440 50500 55550 101000 111100 138875 222200 277750 555500 1111000 190909091 381818182 763636364 954545455 1527272728 1909090910 2100000001 3818181820 4200000002 4772727275 7636363640 8400000004 9545454550 10500000005 16800000008 19090909100 19281818191 21000000010 23863636375 38181818200 38563636382 42000000020 47727272750 52500000025 77127272764 84000000040 95454545500 96409090955 105000000050 154254545528 190909091000 192818181910 210000000100 212100000101 262500000125 385636363820 420000000200 424200000202 482045454775 525000000250 771272727640 848400000404 964090909550 1050000000500 1060500000505 1696800000808 1928181819100 2100000001000 2121000001010 2410227273875 3856363638200 4242000002020 4820454547750 5302500002525 8484000004040 9640909095500 10605000005050 19281818191000 21210000010100 26512500012625 42420000020200 53025000025250 106050000050500 212100000101000