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2120332212020 = 2251173137963691
BaseRepresentation
bin11110110110101101101…
…001011111011100110100
321111200221121010120200102
4132312231221133130310
5234214420021241040
64302022301533232
7306121544300441
oct36665551373464
97450847116612
102120332212020
117482562907a0
122a2b26b74218
13124c3c5172a9
14748a5d929c8
153a24c206515
hex1edada5f734

2120332212020 has 96 divisors (see below), whose sum is σ = 4959976242816. Its totient is φ = 754916198400.

The previous prime is 2120332211951. The next prime is 2120332212023. The reversal of 2120332212020 is 202122330212.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 2120332211983 and 2120332212001.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2120332212023) 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, 1718375 + ... + 2682065.

It is an arithmetic number, because the mean of its divisors is an integer number (51666419196).

Almost surely, 22120332212020 is an apocalyptic number.

2120332212020 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 2120332212020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2479988121408).

2120332212020 is an abundant number, since it is smaller than the sum of its proper divisors (2839644030796).

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

2120332212020 is a wasteful number, since it uses less digits than its factorization.

2120332212020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 963921 (or 963919 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

2120332212020 divided by its sum of digits (20) gives a palindrome (106016610601).

Adding to 2120332212020 its reverse (202122330212), we get a palindrome (2322454542232).

It can be divided in two parts, 21203 and 32212020, that added together give a palindrome (32233223).

The spelling of 2120332212020 in words is "two trillion, one hundred twenty billion, three hundred thirty-two million, two hundred twelve thousand, twenty".

Divisors: 1 2 4 5 10 11 20 22 44 55 73 110 137 146 220 274 292 365 548 685 730 803 1370 1460 1507 1606 2740 3014 3212 4015 6028 7535 8030 10001 15070 16060 20002 30140 40004 50005 100010 110011 200020 220022 440044 550055 963691 1100110 1927382 2200220 3854764 4818455 9636910 10600601 19273820 21201202 42402404 53003005 70349443 106006010 132025667 140698886 212012020 264051334 281397772 351747215 528102668 660128335 703494430 773843873 1320256670 1406988860 1452282337 1547687746 2640513340 2904564674 3095375492 3869219365 5809129348 7261411685 7738438730 9637873691 14522823370 15476877460 19275747382 29045646740 38551494764 48189368455 96378736910 106016610601 192757473820 212033221202 424066442404 530083053005 1060166106010 2120332212020