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221021322002140 = 2251117210112812651
BaseRepresentation
bin110010010000010010001001…
…011000101011111011011100
31001222120102122221121220222011
4302100102021120223323130
5212432203131413032030
62102023443230401004
764361156254201132
oct6220221130537334
91058512587556864
10221021322002140
1164473686290050
12209574b5660164
1396432b508585a
143c816bbdbb752
151a844124e1b2a
hexc9048962bedc

221021322002140 has 96 divisors (see below), whose sum is σ = 536150154371328. Its totient is φ = 75640033920000.

The previous prime is 221021322002119. The next prime is 221021322002141. The reversal of 221021322002140 is 41200223120122.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (221021322002141) 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, 77174815 + ... + 79987465.

It is an arithmetic number, because the mean of its divisors is an integer number (5584897441368).

Almost surely, 2221021322002140 is an apocalyptic number.

221021322002140 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

221021322002140 is an abundant number, since it is smaller than the sum of its proper divisors (315128832369188).

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

221021322002140 is a wasteful number, since it uses less digits than its factorization.

221021322002140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2833699 (or 2833697 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 22.

Adding to 221021322002140 its reverse (41200223120122), we get a palindrome (262221545122262).

The spelling of 221021322002140 in words is "two hundred twenty-one trillion, twenty-one billion, three hundred twenty-two million, two thousand, one hundred forty".

Divisors: 1 2 4 5 10 11 17 20 22 34 44 55 68 85 110 170 187 220 340 374 748 935 1870 3740 21011 42022 84044 105055 210110 231121 357187 420220 462242 714374 924484 1155605 1428748 1785935 2311210 2812651 3571870 3929057 4622420 5625302 7143740 7858114 11250604 14063255 15716228 19645285 28126510 30939161 39290570 47815067 56253020 61878322 78581140 95630134 123756644 154695805 191260268 239075335 309391610 478150670 525965737 618783220 956301340 1051931474 2103862948 2629828685 5259657370 10519314740 59096610161 118193220322 236386440644 295483050805 590966101610 650062711771 1004642372737 1181932203220 1300125423542 2009284745474 2600250847084 3250313558855 4018569490948 5023211863685 6500627117710 10046423727370 11051066100107 13001254235420 20092847454740 22102132200214 44204264400428 55255330500535 110510661001070 221021322002140