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221212021201020 = 22345436331297417
BaseRepresentation
bin110010010011000011101111…
…111100011001100001111100
31002000020122220002210221220000
4302103003233330121201330
5212443314204411413040
62102251222152154300
764411020050506653
oct6223035774314174
91060218802727800
10221212021201020
1164537544a89753
1220988456398990
1396582865060c5
143c8aa0cb4619a
151a8937416d130
hexc930eff1987c

221212021201020 has 120 divisors (see below), whose sum is σ = 694109379196464. Its totient is φ = 58976349951744.

The previous prime is 221212021200991. The next prime is 221212021201033. The reversal of 221212021201020 is 20102120212122.

It is a happy number.

221212021201020 is a `hidden beast` number, since 221 + 21 + 202 + 1 + 201 + 0 + 20 = 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 = 221212021200984 and 221212021201002.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 8580649 + ... + 22716768.

Almost surely, 2221212021201020 is an apocalyptic number.

221212021201020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

221212021201020 is an abundant number, since it is smaller than the sum of its proper divisors (472897357995444).

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

221212021201020 is a wasteful number, since it uses less digits than its factorization.

221212021201020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31301801 (or 31301790 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 221212021201020 its reverse (20102120212122), we get a palindrome (241314141413142).

The spelling of 221212021201020 in words is "two hundred twenty-one trillion, two hundred twelve billion, twenty-one million, two hundred one thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 81 90 108 135 162 180 270 324 405 540 810 1620 4363 8726 13089 17452 21815 26178 39267 43630 52356 65445 78534 87260 117801 130890 157068 196335 235602 261780 353403 392670 471204 589005 706806 785340 1178010 1413612 1767015 2356020 3534030 7068060 31297417 62594834 93892251 125189668 156487085 187784502 281676753 312974170 375569004 469461255 563353506 625948340 845030259 938922510 1126707012 1408383765 1690060518 1877845020 2535090777 2816767530 3380121036 4225151295 5070181554 5633535060 8450302590 10140363108 12675453885 16900605180 25350907770 50701815540 136550630371 273101260742 409651891113 546202521484 682753151855 819303782226 1228955673339 1365506303710 1638607564452 2048259455565 2457911346678 2731012607420 3686867020017 4096518911130 4915822693356 6144778366695 7373734040034 8193037822260 11060601060051 12289556733390 14747468080068 18434335100085 22121202120102 24579113466780 36868670200170 44242404240204 55303005300255 73737340400340 110606010600510 221212021201020