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1002111111220 = 225411289948089
BaseRepresentation
bin11101001010100100111…
…10100001000000110100
310112210121211211222122111
432211102132201000310
5112404310421024340
62044210302540404
7132254150621152
oct16452236410064
93483554758574
101002111111220
11356aa166300a
12142270b97704
1373663776c8b
14367069863d2
151b101c75aea
hexe9527a1034

1002111111220 has 48 divisors (see below), whose sum is σ = 2157435680400. Its totient is φ = 390763950080.

The previous prime is 1002111111203. The next prime is 1002111111233. The reversal of 1002111111220 is 221111112001.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 294204268836 + 707906842384 = 542406^2 + 841372^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 1002111111220.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 582936 + ... + 1531024.

It is an arithmetic number, because the mean of its divisors is an integer number (44946576675).

Almost surely, 21002111111220 is an apocalyptic number.

1002111111220 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 1002111111220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1078717840200).

1002111111220 is an abundant number, since it is smaller than the sum of its proper divisors (1155324569180).

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

1002111111220 is a wasteful number, since it uses less digits than its factorization.

1002111111220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 949428 (or 949426 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 13.

Adding to 1002111111220 its reverse (221111112001), we get a palindrome (1223222223221).

The spelling of 1002111111220 in words is "one trillion, two billion, one hundred eleven million, one hundred eleven thousand, two hundred twenty".

Divisors: 1 2 4 5 10 20 41 82 164 205 410 820 1289 2578 5156 6445 12890 25780 52849 105698 211396 264245 528490 948089 1056980 1896178 3792356 4740445 9480890 18961780 38871649 77743298 155486596 194358245 388716490 777432980 1222086721 2444173442 4888346884 6110433605 12220867210 24441734420 50105555561 100211111122 200422222244 250527777805 501055555610 1002111111220