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2114164301020 = 2253167293917317
BaseRepresentation
bin11110110000111110000…
…000110001110011011100
321111010000202010020102021
4132300332000301303130
5234114302030113040
64255122250105524
7305512651023562
oct36607600616334
97433022106367
102114164301020
117456806a4992
122a18a541b2a4
1312449871b005
147447cb55a32
1539eda9a224a
hex1ec3e031cdc

2114164301020 has 96 divisors (see below), whose sum is σ = 4653216368640. Its totient is φ = 805850622720.

The previous prime is 2114164300999. The next prime is 2114164301047. The reversal of 2114164301020 is 201034614112.

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, 122077402 + ... + 122094718.

It is an arithmetic number, because the mean of its divisors is an integer number (48471003840).

Almost surely, 22114164301020 is an apocalyptic number.

2114164301020 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 2114164301020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2326608184320).

2114164301020 is an abundant number, since it is smaller than the sum of its proper divisors (2539052067620).

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

2114164301020 is a wasteful number, since it uses less digits than its factorization.

2114164301020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20363 (or 20361 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 25.

Adding to 2114164301020 its reverse (201034614112), we get a palindrome (2315198915132).

The spelling of 2114164301020 in words is "two trillion, one hundred fourteen billion, one hundred sixty-four million, three hundred one thousand, twenty".

Divisors: 1 2 4 5 10 20 31 62 67 124 134 155 268 310 335 620 670 1340 2077 2939 4154 5878 8308 10385 11756 14695 17317 20770 29390 34634 41540 58780 69268 86585 91109 173170 182218 196913 346340 364436 393826 455545 536827 787652 911090 984565 1073654 1160239 1822180 1969130 2147308 2320478 2684135 3938260 4640956 5368270 5801195 6104303 10736540 11602390 12208606 23204780 24417212 30521515 35967409 50894663 61043030 71934818 101789326 122086060 143869636 179837045 203578652 254473315 359674090 508946630 719348180 1017893260 1577734553 3155469106 3409942421 6310938212 6819884842 7888672765 13639769684 15777345530 17049712105 31554691060 34099424210 68198848420 105708215051 211416430102 422832860204 528541075255 1057082150510 2114164301020