Search a number
-
+
122021100002200 = 23527312811546083
BaseRepresentation
bin11011101111101001000000…
…010100100001101110011000
3121000001002210021000001111111
4123233221000110201232120
5111443143203100032300
61111303415224110104
734462506415561510
oct3357510024415630
9530032707001444
10122021100002200
113597494895aa43
121182860b605334
13531170421a639
14221bbd1d44840
15e190aec359ba
hex6efa40521b98

122021100002200 has 96 divisors (see below), whose sum is σ = 334686445839360. Its totient is φ = 40486263580800.

The previous prime is 122021100002159. The next prime is 122021100002359. The reversal of 122021100002200 is 2200001120221.

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 23 ways as a sum of consecutive naturals, for example, 1405729642 + ... + 1405816441.

It is an arithmetic number, because the mean of its divisors is an integer number (3486317144160).

Almost surely, 2122021100002200 is an apocalyptic number.

122021100002200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

122021100002200 is an abundant number, since it is smaller than the sum of its proper divisors (212665345837160).

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

122021100002200 is a wasteful number, since it uses less digits than its factorization.

122021100002200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2811546137 (or 2811546128 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 13.

Adding to 122021100002200 its reverse (2200001120221), we get a palindrome (124221101122421).

The spelling of 122021100002200 in words is "one hundred twenty-two trillion, twenty-one billion, one hundred million, two thousand, two hundred".

Divisors: 1 2 4 5 7 8 10 14 20 25 28 31 35 40 50 56 62 70 100 124 140 155 175 200 217 248 280 310 350 434 620 700 775 868 1085 1240 1400 1550 1736 2170 3100 4340 5425 6200 8680 10850 21700 43400 2811546083 5623092166 11246184332 14057730415 19680822581 22492368664 28115460830 39361645162 56230921660 70288652075 78723290324 87157928573 98404112905 112461843320 140577304150 157446580648 174315857146 196808225810 281154608300 348631714292 393616451620 435789642865 492020564525 562309216600 610105500011 697263428584 787232903240 871579285730 984041129050 1220211000022 1743158571460 1968082258100 2178948214325 2440422000044 3050527500055 3486317142920 3936164516200 4357896428650 4880844000088 6101055000110 8715792857300 12202110000220 15252637500275 17431585714600 24404220000440 30505275000550 61010550001100 122021100002200