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1002101023232 = 298356941443
BaseRepresentation
bin11101001010100011110…
…00000010001000000000
310112210121010212110112022
432211101320002020000
5112404300330220412
62044205302421012
7132253666104131
oct16452170021000
93483533773468
101002101023232
11356a969a2831
12142269731768
137366165435a
14367054bbc88
151b100e31a72
hexe951e02200

1002101023232 has 80 divisors (see below), whose sum is σ = 2029978510560. Its totient is φ = 494131863552.

The previous prime is 1002101023201. The next prime is 1002101023277. The reversal of 1002101023232 is 2323201012001.

It is a self number, because there is not a number n which added to its sum of digits gives 1002101023232.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 24159503 + ... + 24200945.

It is an arithmetic number, because the mean of its divisors is an integer number (25374731382).

Almost surely, 21002101023232 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1002101023232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1014989255280).

1002101023232 is an abundant number, since it is smaller than the sum of its proper divisors (1027877487328).

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

1002101023232 is an frugal number, since it uses more digits than its factorization.

1002101023232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42113 (or 42097 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 17.

Adding to 1002101023232 its reverse (2323201012001), we get a palindrome (3325302035233).

The spelling of 1002101023232 in words is "one trillion, two billion, one hundred one million, twenty-three thousand, two hundred thirty-two".

Divisors: 1 2 4 8 16 32 64 83 128 166 256 332 512 569 664 1138 1328 2276 2656 4552 5312 9104 10624 18208 21248 36416 41443 42496 47227 72832 82886 94454 145664 165772 188908 291328 331544 377816 663088 755632 1326176 1511264 2652352 3022528 3439769 5304704 6045056 6879538 10609408 12090112 13759076 21218816 23581067 24180224 27518152 47162134 55036304 94324268 110072608 188648536 220145216 377297072 440290432 754594144 880580864 1509188288 1761161728 1957228561 3018376576 3914457122 6036753152 7828914244 12073506304 15657828488 31315656976 62631313952 125262627904 250525255808 501050511616 1002101023232