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1002211221004 = 227838915132089
BaseRepresentation
bin11101001010110000111…
…00011001111000001100
310112210212211020002110021
432211120130121320030
5112410012033033004
62044224240351524
7132256504551340
oct16453034317014
93483784202407
101002211221004
11357043119a74
1214229a6155a4
137367b428736
1436715da5620
151b10a94cd54
hexe958719e0c

1002211221004 has 96 divisors (see below), whose sum is σ = 2065014604800. Its totient is φ = 416784614400.

The previous prime is 1002211220957. The next prime is 1002211221007. The reversal of 1002211221004 is 4001221122001.

It is not an unprimeable number, because it can be changed into a prime (1002211221007) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 31216192 + ... + 31248280.

It is an arithmetic number, because the mean of its divisors is an integer number (21510568800).

Almost surely, 21002211221004 is an apocalyptic number.

1002211221004 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

1002211221004 is an abundant number, since it is smaller than the sum of its proper divisors (1062803383796).

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

1002211221004 is a wasteful number, since it uses less digits than its factorization.

1002211221004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32423 (or 32421 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 1002211221004 its reverse (4001221122001), we get a palindrome (5003432343005).

The spelling of 1002211221004 in words is "one trillion, two billion, two hundred eleven million, two hundred twenty-one thousand, four".

Divisors: 1 2 4 7 14 28 83 89 151 166 178 302 332 356 581 604 623 1057 1162 1246 2114 2324 2492 4228 7387 12533 13439 14774 25066 26878 29548 32089 50132 51709 53756 64178 87731 94073 103418 128356 175462 188146 206836 224623 350924 376292 449246 898492 1115437 2230874 2663387 2855921 4461748 4845439 5326774 5711842 7808059 9690878 10653548 11423684 15616118 18643709 19381756 19991447 31232236 33918073 37287418 39982894 67836146 74574836 79965788 135672292 237041443 402171437 431244071 474082886 804342874 862488142 948165772 1608685748 1659290101 1724976284 2815200059 3018708497 3318580202 5630400118 6037416994 6637160404 11260800236 12074833988 35793257893 71586515786 143173031572 250552805251 501105610502 1002211221004