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1002020122152 = 2334734508243
BaseRepresentation
bin11101001010011010000…
…11011010111000101000
310112210101111122021010000
432211031003122320220
5112404114122402102
62044153252423000
7132251664336000
oct16451503327050
93483344567100
101002020122152
11356a55266635
12142246617a60
137364a969aaa
14366d885d000
151b0e8ca101c
hexe94d0dae28

1002020122152 has 160 divisors (see below), whose sum is σ = 3272985144000. Its totient is φ = 286291399968.

The previous prime is 1002020122121. The next prime is 1002020122153. The reversal of 1002020122152 is 2512210202001.

It is a super-2 number, since 2×10020201221522 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (1002020122153) 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 39 ways as a sum of consecutive naturals, for example, 2031858 + ... + 2476385.

It is an arithmetic number, because the mean of its divisors is an integer number (20456157150).

Almost surely, 21002020122152 is an apocalyptic number.

1002020122152 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1002020122152 is an abundant number, since it is smaller than the sum of its proper divisors (2270965021848).

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

1002020122152 is an equidigital number, since it uses as much as digits as its factorization.

1002020122152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4508282 (or 4508255 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 18.

Adding to 1002020122152 its reverse (2512210202001), we get a palindrome (3514230324153).

The spelling of 1002020122152 in words is "one trillion, two billion, twenty million, one hundred twenty-two thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 27 28 36 42 49 54 56 63 72 81 84 98 108 126 147 162 168 189 196 216 252 294 324 343 378 392 441 504 567 588 648 686 756 882 1029 1134 1176 1323 1372 1512 1764 2058 2268 2646 2744 3087 3528 3969 4116 4536 5292 6174 7938 8232 9261 10584 12348 15876 18522 24696 27783 31752 37044 55566 74088 111132 222264 4508243 9016486 13524729 18032972 27049458 31557701 36065944 40574187 54098916 63115402 81148374 94673103 108197832 121722561 126230804 162296748 189346206 220903907 243445122 252461608 284019309 324593496 365167683 378692412 441807814 486890244 568038618 662711721 730335366 757384824 852057927 883615628 973780488 1136077236 1325423442 1460670732 1546327349 1704115854 1767231256 1988135163 2272154472 2556173781 2650846884 2921341464 3092654698 3408231708 3976270326 4638982047 5112347562 5301693768 5964405489 6185309396 6816463416 7952540652 9277964094 10224695124 11928810978 12370618792 13916946141 15905081304 17893216467 18555928188 20449390248 23857621956 27833892282 35786432934 37111856376 41750838423 47715243912 55667784564 71572865868 83501676846 111335569128 125252515269 143145731736 167003353692 250505030538 334006707384 501010061076 1002020122152