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2002210001120 = 25576726681903
BaseRepresentation
bin11101001000101101000…
…001000001000011100000
321002102001110100112120102
4131020231001001003200
5230301011230013440
64131445205001532
7264440426130020
oct35105501010340
97072043315512
102002210001120
1170215039139a
122840600b32a8
13116a66387c44
146cc9c1b1a80
1537137022b15
hex1d22d0410e0

2002210001120 has 96 divisors (see below), whose sum is σ = 5486653283328. Its totient is φ = 676226124288.

The previous prime is 2002210001119. The next prime is 2002210001173. The reversal of 2002210001120 is 211000122002.

It is a happy number.

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, 13265912 + ... + 13415991.

It is an arithmetic number, because the mean of its divisors is an integer number (57152638368).

Almost surely, 22002210001120 is an apocalyptic number.

2002210001120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2002210001120 is an abundant number, since it is smaller than the sum of its proper divisors (3484443282208).

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

2002210001120 is a wasteful number, since it uses less digits than its factorization.

2002210001120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26681992 (or 26681984 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 11.

Adding to 2002210001120 its reverse (211000122002), we get a palindrome (2213210123122).

The spelling of 2002210001120 in words is "two trillion, two billion, two hundred ten million, one thousand, one hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 56 67 70 80 112 134 140 160 224 268 280 335 469 536 560 670 938 1072 1120 1340 1876 2144 2345 2680 3752 4690 5360 7504 9380 10720 15008 18760 37520 75040 26681903 53363806 106727612 133409515 186773321 213455224 266819030 373546642 426910448 533638060 747093284 853820896 933866605 1067276120 1494186568 1787687501 1867733210 2134552240 2988373136 3575375002 3735466420 4269104480 5976746272 7150750004 7470932840 8938437505 12513812507 14301500008 14941865680 17876875010 25027625014 28603000016 29883731360 35753750020 50055250028 57206000032 62569062535 71507500040 100110500056 125138125070 143015000080 200221000112 250276250140 286030000160 400442000224 500552500280 1001105000560 2002210001120