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2042101031120 = 245373312084287
BaseRepresentation
bin11101101101110110101…
…101001110000011010000
321020020000112100211022222
4131231312231032003100
5231424210330443440
64202043412120212
7300352111236023
oct35556655160320
97206015324288
102042101031120
11718060881687
1228b933606068
1311a7529a5bc7
1470ba40d51ba
15381be1822b5
hex1db76b4e0d0

2042101031120 has 80 divisors (see below), whose sum is σ = 4890940197888. Its totient is φ = 792362165760.

The previous prime is 2042101031107. The next prime is 2042101031149. The reversal of 2042101031120 is 211301012402.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 62384 + ... + 2021903.

Almost surely, 22042101031120 is an apocalyptic number.

2042101031120 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 2042101031120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2445470098944).

2042101031120 is an abundant number, since it is smaller than the sum of its proper divisors (2848839166768).

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

2042101031120 is a wasteful number, since it uses less digits than its factorization.

2042101031120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2084668 (or 2084662 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 17.

Adding to 2042101031120 its reverse (211301012402), we get a palindrome (2253402043522).

The spelling of 2042101031120 in words is "two trillion, forty-two billion, one hundred one million, thirty-one thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 37 40 74 80 148 185 296 331 370 592 662 740 1324 1480 1655 2648 2960 3310 5296 6620 12247 13240 24494 26480 48988 61235 97976 122470 195952 244940 489880 979760 2084287 4168574 8337148 10421435 16674296 20842870 33348592 41685740 77118619 83371480 154237238 166742960 308474476 385593095 616948952 689898997 771186190 1233897904 1379797994 1542372380 2759595988 3084744760 3449494985 5519191976 6169489520 6898989970 11038383952 13797979940 25526262889 27595959880 51052525778 55191919760 102105051556 127631314445 204210103112 255262628890 408420206224 510525257780 1021050515560 2042101031120