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2114342120 = 2351141117203
BaseRepresentation
bin111111000000110…
…0100110011101000
312110100111201010102
41332001210303220
513312232421440
6545445404532
7103252416512
oct17601446350
95410451112
102114342120
11995544590
124b0109748
1327906cc17
14160b40bb2
15c594bb15
hex7e064ce8

2114342120 has 64 divisors (see below), whose sum is σ = 5316373440. Its totient is φ = 750092800.

The previous prime is 2114342099. The next prime is 2114342123. The reversal of 2114342120 is 212434112.

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 = 2114342092 and 2114342101.

It is not an unprimeable number, because it can be changed into a prime (2114342123) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 40562 + ... + 76641.

It is an arithmetic number, because the mean of its divisors is an integer number (83068335).

Almost surely, 22114342120 is an apocalyptic number.

2114342120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2114342120 is an abundant number, since it is smaller than the sum of its proper divisors (3202031320).

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

2114342120 is a wasteful number, since it uses less digits than its factorization.

2114342120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 117266 (or 117262 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

The square root of 2114342120 is about 45981.9760340941. The cubic root of 2114342120 is about 1283.4878263811.

Adding to 2114342120 its reverse (212434112), we get a palindrome (2326776232).

The spelling of 2114342120 in words is "two billion, one hundred fourteen million, three hundred forty-two thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 11 20 22 40 41 44 55 82 88 110 164 205 220 328 410 440 451 820 902 1640 1804 2255 3608 4510 9020 18040 117203 234406 468812 586015 937624 1172030 1289233 2344060 2578466 4688120 4805323 5156932 6446165 9610646 10313864 12892330 19221292 24026615 25784660 38442584 48053230 51569320 52858553 96106460 105717106 192212920 211434212 264292765 422868424 528585530 1057171060 2114342120