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1002220231220 = 225135992970327
BaseRepresentation
bin11101001010110001111…
…10110001101000110100
310112210220110011212010222
432211120332301220310
5112410021334344340
62044225201433512
7132256644256235
oct16453076615064
93483813155128
101002220231220
1135704821352a
121422a163b898
1373680261920
143671726d08c
151b10b62c8b5
hexe958fb1a34

1002220231220 has 96 divisors (see below), whose sum is σ = 2307489811200. Its totient is φ = 363381755904.

The previous prime is 1002220231217. The next prime is 1002220231223. The reversal of 1002220231220 is 221320222001.

It is an interprime number because it is at equal distance from previous prime (1002220231217) and next prime (1002220231223).

It is a super-3 number, since 3×10022202312203 (a number of 37 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1002220231223) 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, 14215697 + ... + 14286023.

It is an arithmetic number, because the mean of its divisors is an integer number (24036352200).

Almost surely, 21002220231220 is an apocalyptic number.

1002220231220 is a gapful number since it is divisible by the number (10) 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 1002220231220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1153744905600).

1002220231220 is an abundant number, since it is smaller than the sum of its proper divisors (1305269579980).

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

1002220231220 is a wasteful number, since it uses less digits than its factorization.

1002220231220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 71337 (or 71335 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 17.

Adding to 1002220231220 its reverse (221320222001), we get a palindrome (1223540453221).

The spelling of 1002220231220 in words is "one trillion, two billion, two hundred twenty million, two hundred thirty-one thousand, two hundred twenty".

Divisors: 1 2 4 5 10 13 20 26 52 59 65 118 130 236 260 295 590 767 929 1180 1534 1858 3068 3716 3835 4645 7670 9290 12077 15340 18580 24154 48308 54811 60385 70327 109622 120770 140654 219244 241540 274055 281308 351635 548110 703270 712543 914251 1096220 1406540 1425086 1828502 2850172 3562715 3657004 4149293 4571255 7125430 8298586 9142510 14250860 16597172 18285020 20746465 41492930 53940809 65333783 82985860 107881618 130667566 215763236 261335132 269704045 326668915 539408090 653337830 849339179 1078816180 1306675660 1698678358 3397356716 3854693197 4246695895 7709386394 8493391790 15418772788 16986783580 19273465985 38546931970 50111011561 77093863940 100222023122 200444046244 250555057805 501110115610 1002220231220