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201212233020 = 2232537285110597
BaseRepresentation
bin1011101101100100101…
…1110000010100111100
3201020100211022111120200
42323121023300110330
511244040312424040
6232234032243500
720352140522031
oct2733113602474
9636324274520
10201212233020
1178374072877
1232bb56a0590
1315c88507716
149a4b0b7388
155379ac9630
hex2ed92f053c

201212233020 has 144 divisors (see below), whose sum is σ = 627118591008. Its totient is φ = 52183180800.

The previous prime is 201212232961. The next prime is 201212233037. The reversal of 201212233020 is 20332212102.

201212233020 is a `hidden beast` number, since 20 + 121 + 223 + 302 + 0 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 201212232984 and 201212233002.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 18982362 + ... + 18992958.

Almost surely, 2201212233020 is an apocalyptic number.

201212233020 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 201212233020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (313559295504).

201212233020 is an abundant number, since it is smaller than the sum of its proper divisors (425906357988).

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

201212233020 is a wasteful number, since it uses less digits than its factorization.

201212233020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13500 (or 13495 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 201212233020 its reverse (20332212102), we get a palindrome (221544445122).

The spelling of 201212233020 in words is "two hundred one billion, two hundred twelve million, two hundred thirty-three thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 37 45 60 74 90 111 148 180 185 222 333 370 444 555 666 740 1110 1332 1665 2220 2851 3330 5702 6660 8553 10597 11404 14255 17106 21194 25659 28510 31791 34212 42388 42765 51318 52985 57020 63582 85530 95373 102636 105487 105970 127164 128295 158955 171060 190746 210974 211940 256590 316461 317910 381492 392089 421948 476865 513180 527435 632922 635820 784178 949383 953730 1054870 1176267 1265844 1568356 1582305 1898766 1907460 1960445 2109740 2352534 3164610 3528801 3797532 3920890 4705068 4746915 5881335 6329220 7057602 7841780 9493830 11762670 14115204 17644005 18987660 23525340 30212047 35288010 60424094 70576020 90636141 120848188 151060235 181272282 271908423 302120470 362544564 453180705 543816846 604240940 906361410 1087633692 1117845739 1359542115 1812722820 2235691478 2719084230 3353537217 4471382956 5438168460 5589228695 6707074434 10060611651 11178457390 13414148868 16767686085 20121223302 22356914780 33535372170 40242446604 50303058255 67070744340 100606116510 201212233020