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1002245130096 = 2437171049167267
BaseRepresentation
bin11101001010110100111…
…01110000011101110000
310112210222012000211222120
432211122131300131300
5112410044223130341
62044231451234240
7132260366020560
oct16453235603560
93483865024876
101002245130096
1135706027a411
121422a9a48980
137368546baa2
143671a6b0da0
151b10d8ea066
hexe95a770770

1002245130096 has 160 divisors (see below), whose sum is σ = 3136074278400. Its totient is φ = 269252763648.

The previous prime is 1002245130031. The next prime is 1002245130097. The reversal of 1002245130096 is 6900315422001.

It is a super-2 number, since 2×10022451300962 (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1002245130097) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5908255 + ... + 6075521.

It is an arithmetic number, because the mean of its divisors is an integer number (19600464240).

Almost surely, 21002245130096 is an apocalyptic number.

1002245130096 is a gapful number since it is divisible by the number (16) 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 1002245130096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1568037139200).

1002245130096 is an abundant number, since it is smaller than the sum of its proper divisors (2133829148304).

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

1002245130096 is a wasteful number, since it uses less digits than its factorization.

1002245130096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 168351 (or 168345 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 33.

The spelling of 1002245130096 in words is "one trillion, two billion, two hundred forty-five million, one hundred thirty thousand, ninety-six".

Divisors: 1 2 3 4 6 7 8 12 14 16 17 21 24 28 34 42 48 51 56 68 84 102 112 119 136 168 204 238 272 336 357 408 476 714 816 952 1049 1428 1904 2098 2856 3147 4196 5712 6294 7343 8392 12588 14686 16784 17833 22029 25176 29372 35666 44058 50352 53499 58744 71332 88116 106998 117488 124831 142664 167267 176232 213996 249662 285328 334534 352464 374493 427992 499324 501801 669068 748986 855984 998648 1003602 1170869 1338136 1497972 1997296 2007204 2341738 2676272 2843539 2995944 3512607 4014408 4683476 5687078 5991888 7025214 8028816 8530617 9366952 11374156 14050428 17061234 18733904 19904773 22748312 28100856 34122468 39809546 45496624 56201712 59714319 68244936 79619092 119428638 136489872 159238184 175463083 238857276 318476368 350926166 477714552 526389249 701852332 955429104 1052778498 1228241581 1403704664 2105556996 2456483162 2807409328 2982872411 3684724743 4211113992 4912966324 5965744822 7369449486 8422227984 8948617233 9825932648 11931489644 14738898972 17897234466 19651865296 20880106877 23862979288 29477797944 35794468932 41760213754 47725958576 58955595888 62640320631 71588937864 83520427508 125280641262 143177875728 167040855016 250561282524 334081710032 501122565048 1002245130096