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2121400343420 = 22523291213131101
BaseRepresentation
bin11110110111101101010…
…100000101101101111100
321111210201001000021111122
4132313231110011231330
5234224111441442140
64302320255410112
7306160164253241
oct36675524055574
97453631007448
102121400343420
11748754209716
122a3184823938
1312507c8ba5c7
1474967b975c8
153a2b0d94ab5
hex1eded505b7c

2121400343420 has 96 divisors (see below), whose sum is σ = 4812932718720. Its totient is φ = 783025689600.

The previous prime is 2121400343389. The next prime is 2121400343501. The reversal of 2121400343420 is 243430041212.

It is a self number, because there is not a number n which added to its sum of digits gives 2121400343420.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 16115870 + ... + 16246970.

It is an arithmetic number, because the mean of its divisors is an integer number (50134715820).

Almost surely, 22121400343420 is an apocalyptic number.

2121400343420 is a gapful number since it is divisible by the number (20) 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 2121400343420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2406466359360).

2121400343420 is an abundant number, since it is smaller than the sum of its proper divisors (2691532375300).

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

2121400343420 is a wasteful number, since it uses less digits than its factorization.

2121400343420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 132375 (or 132373 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 26.

Adding to 2121400343420 its reverse (243430041212), we get a palindrome (2364830384632).

The spelling of 2121400343420 in words is "two trillion, one hundred twenty-one billion, four hundred million, three hundred forty-three thousand, four hundred twenty".

Divisors: 1 2 4 5 10 20 23 29 46 58 92 115 116 145 230 290 460 580 667 1213 1334 2426 2668 3335 4852 6065 6670 12130 13340 24260 27899 35177 55798 70354 111596 131101 139495 140708 175885 262202 278990 351770 524404 557980 655505 703540 809071 1311010 1618142 2622020 3015323 3236284 3801929 4045355 6030646 7603858 8090710 12061292 15076615 15207716 16181420 19009645 30153230 38019290 60306460 76038580 87444367 159025513 174888734 318051026 349777468 437221835 636102052 795127565 874443670 1590255130 1748887340 3180510260 3657586799 4611739877 7315173598 9223479754 14630347196 18287933995 18446959508 23058699385 36575867990 46117398770 73151735980 92234797540 106070017171 212140034342 424280068684 530350085855 1060700171710 2121400343420