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1002102021120 = 2103565241017
BaseRepresentation
bin11101001010100011110…
…11110101110000000000
310112210121012202011101010
432211101323311300000
5112404301104133440
62044205340040520
7132254010431334
oct16452173656000
93483535664333
101002102021120
11356a97514532
12142269b33140
1373661913615
143670569b7c4
151b10107c580
hexe951ef5c00

1002102021120 has 88 divisors (see below), whose sum is σ = 3205160732304. Its totient is φ = 267227201536.

The previous prime is 1002102021091. The next prime is 1002102021187. The reversal of 1002102021120 is 211202012001.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 1002102021096 and 1002102021105.

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 32605149 + ... + 32635868.

Almost surely, 21002102021120 is an apocalyptic number.

1002102021120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1002102021120 is an abundant number, since it is smaller than the sum of its proper divisors (2203058711184).

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

1002102021120 is an equidigital number, since it uses as much as digits as its factorization.

1002102021120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 65241045 (or 65241027 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 1002102021120 its reverse (211202012001), we get a palindrome (1213304033121).

The spelling of 1002102021120 in words is "one trillion, two billion, one hundred two million, twenty-one thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 128 160 192 240 256 320 384 480 512 640 768 960 1024 1280 1536 1920 2560 3072 3840 5120 7680 15360 65241017 130482034 195723051 260964068 326205085 391446102 521928136 652410170 782892204 978615255 1043856272 1304820340 1565784408 1957230510 2087712544 2609640680 3131568816 3914461020 4175425088 5219281360 6263137632 7828922040 8350850176 10438562720 12526275264 15657844080 16701700352 20877125440 25052550528 31315688160 33403400704 41754250880 50105101056 62631376320 66806801408 83508501760 100210202112 125262752640 167017003520 200420404224 250525505280 334034007040 501051010560 1002102021120