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1002101220 = 22345618581
BaseRepresentation
bin111011101110101…
…101100111100100
32120211122000110000
4323232231213210
54023014214340
6243234301300
733555501621
oct7356554744
92524560400
101002101220
1147472952a
1223b727830
1312c7c4703
1497137348
155ce98d30
hex3bbad9e4

1002101220 has 60 divisors (see below), whose sum is σ = 3143633724. Its totient is φ = 267226560.

The previous prime is 1002101161. The next prime is 1002101239. The reversal of 1002101220 is 221012001.

Adding to 1002101220 its reverse (221012001), we get a palindrome (1223113221).

It can be written as a sum of positive squares in 2 ways, for example, as 649638144 + 352463076 = 25488^2 + 18774^2 .

It is a tau number, because it is divible by the number of its divisors (60).

It is a Harshad number since it is a multiple of its sum of digits (9).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 307671 + ... + 310910.

Almost surely, 21002101220 is an apocalyptic number.

1002101220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1002101220 is an abundant number, since it is smaller than the sum of its proper divisors (2141532504).

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

1002101220 is a wasteful number, since it uses less digits than its factorization.

1002101220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 618602 (or 618591 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

The square root of 1002101220 is about 31655.9823730049. The cubic root of 1002101220 is about 1000.6999166690.

The spelling of 1002101220 in words is "one billion, two million, one hundred one thousand, two hundred 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 618581 1237162 1855743 2474324 3092905 3711486 5567229 6185810 7422972 9278715 11134458 12371620 16701687 18557430 22268916 27836145 33403374 37114860 50105061 55672290 66806748 83508435 100210122 111344580 167016870 200420244 250525305 334033740 501050610 1002101220