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1002222201210 = 235172269429727
BaseRepresentation
bin11101001010110010001…
…10010010100101111010
310112210220120212221110120
432211121012102211322
5112410022340414320
62044225311554110
7132260000102526
oct16453106224572
93483816787416
101002222201210
1135704933961a
121422a222b936
13736807a14b9
1436717622d86
151b10b8bb440
hexe95919297a

1002222201210 has 96 divisors (see below), whose sum is σ = 2564651082240. Its totient is φ = 250602451968.

The previous prime is 1002222201161. The next prime is 1002222201229. The reversal of 1002222201210 is 121022222001.

1002222201210 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 1002222201210.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2117367 + ... + 2547093.

It is an arithmetic number, because the mean of its divisors is an integer number (26715115440).

Almost surely, 21002222201210 is an apocalyptic number.

1002222201210 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1002222201210, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1282325541120).

1002222201210 is an abundant number, since it is smaller than the sum of its proper divisors (1562428881030).

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

1002222201210 is a wasteful number, since it uses less digits than its factorization.

1002222201210 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 430040 (or 430023 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

Adding to 1002222201210 its reverse (121022222001), we get a palindrome (1123244423211).

The spelling of 1002222201210 in words is "one trillion, two billion, two hundred twenty-two million, two hundred one thousand, two hundred ten".

Divisors: 1 2 3 5 6 10 15 17 30 34 51 85 102 170 255 269 289 510 538 578 807 867 1345 1445 1614 1734 2690 2890 4035 4335 4573 8070 8670 9146 13719 22865 27438 45730 68595 77741 137190 155482 233223 388705 429727 466446 777410 859454 1166115 1289181 2148635 2332230 2578362 4297270 6445905 7305359 12891810 14610718 21916077 36526795 43832154 73053590 109580385 115596563 124191103 219160770 231193126 248382206 346789689 372573309 577982815 620955515 693579378 745146618 1155965630 1241911030 1733948445 1862866545 1965141571 3467896890 3725733090 3930283142 5895424713 9825707855 11790849426 19651415710 29477123565 33407406707 58954247130 66814813414 100222220121 167037033535 200444440242 334074067070 501111100605 1002222201210