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1002221200020 = 2235372017223823
BaseRepresentation
bin11101001010110010000…
…10011110001010010100
310112210220112000002002110
432211121002132022110
5112410022111400040
62044225234311020
7132256655432565
oct16453102361224
93483815002073
101002221200020
11357048815397
121422a1a28470
1373680510891
143671744216c
151b10b76e980
hexe95909e294

1002221200020 has 96 divisors (see below), whose sum is σ = 2883504895488. Its totient is φ = 259905687552.

The previous prime is 1002221200003. The next prime is 1002221200021. The reversal of 1002221200020 is 200021222001.

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

It is a junction number, because it is equal to n+sod(n) for n = 1002221199969 and 1002221200005.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1002221200021) 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, 4365829 + ... + 4589651.

It is an arithmetic number, because the mean of its divisors is an integer number (30036509328).

Almost surely, 21002221200020 is an apocalyptic number.

1002221200020 is a gapful number since it is divisible by the number (10) 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 1002221200020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1441752447744).

1002221200020 is an abundant number, since it is smaller than the sum of its proper divisors (1881283695468).

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

1002221200020 is a wasteful number, since it uses less digits than its factorization.

1002221200020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 225889 (or 225887 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

Adding to 1002221200020 its reverse (200021222001), we get a palindrome (1202242422021).

The spelling of 1002221200020 in words is "one trillion, two billion, two hundred twenty-one million, two hundred thousand, twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 37 60 74 111 148 185 222 370 444 555 740 1110 2017 2220 4034 6051 8068 10085 12102 20170 24204 30255 40340 60510 74629 121020 149258 223823 223887 298516 373145 447646 447774 671469 746290 895292 895548 1119115 1119435 1342938 1492580 2238230 2238870 2685876 3357345 4476460 4477740 6714690 8281451 13429380 16562902 24844353 33125804 41407255 49688706 82814510 99377412 124221765 165629020 248443530 451450991 496887060 902901982 1354352973 1805803964 2257254955 2708705946 4514509910 5417411892 6771764865 9029019820 13543529730 16703686667 27087059460 33407373334 50111060001 66814746668 83518433335 100222120002 167036866670 200444240004 250555300005 334073733340 501110600010 1002221200020