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2122211021220 = 2232541287562469
BaseRepresentation
bin11110111000011101101…
…000100101000110100100
321111212210112102222101100
4132320131220211012210
5234232242010134340
64302532535200100
7306216240021333
oct36703550450644
97455715388340
102122211021220
1174902a882974
122a3370216030
1312517b83b704
1474a03701d1a
153a30c12a830
hex1ee1da251a4

2122211021220 has 72 divisors (see below), whose sum is σ = 6594382562040. Its totient is φ = 552119938560.

The previous prime is 2122211021219. The next prime is 2122211021221. The reversal of 2122211021220 is 221201122212.

It is a happy number.

2122211021220 is a `hidden beast` number, since 212 + 2 + 211 + 0 + 21 + 220 = 666.

It is an interprime number because it is at equal distance from previous prime (2122211021219) and next prime (2122211021221).

It can be written as a sum of positive squares in 4 ways, for example, as 263095133184 + 1859115888036 = 512928^2 + 1363494^2 .

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 = 2122211021193 and 2122211021202.

It is not an unprimeable number, because it can be changed into a prime (2122211021221) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 143773855 + ... + 143788614.

It is an arithmetic number, because the mean of its divisors is an integer number (91588646695).

Almost surely, 22122211021220 is an apocalyptic number.

2122211021220 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2122211021220 is an abundant number, since it is smaller than the sum of its proper divisors (4472171540820).

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

2122211021220 is a wasteful number, since it uses less digits than its factorization.

2122211021220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 287562525 (or 287562520 counting only the distinct ones).

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

Adding to 2122211021220 its reverse (221201122212), we get a palindrome (2343412143432).

The spelling of 2122211021220 in words is "two trillion, one hundred twenty-two billion, two hundred eleven million, twenty-one thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 41 45 60 82 90 123 164 180 205 246 369 410 492 615 738 820 1230 1476 1845 2460 3690 7380 287562469 575124938 862687407 1150249876 1437812345 1725374814 2588062221 2875624690 3450749628 4313437035 5176124442 5751249380 8626874070 10352248884 11790061229 12940311105 17253748140 23580122458 25880622210 35370183687 47160244916 51761244420 58950306145 70740367374 106110551061 117900612290 141480734748 176850918435 212221102122 235801224580 353701836870 424442204244 530552755305 707403673740 1061105510610 2122211021220