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242003002223320 = 235131511405176031
BaseRepresentation
bin110111000001100110110110…
…111110110110101011011000
31011201212021001022121200000021
4313001212312332312223120
5223204434122032121240
62214410351110520224
7101655065665352152
oct6701466676665330
91151767038550007
10242003002223320
1170122995827aa8
1223185977966074
13a505a290a01c0
1443a90175b3ad2
151cea0c061b54a
hexdc19b6fb6ad8

242003002223320 has 128 divisors (see below), whose sum is σ = 586932539719680. Its totient is φ = 89272601280000.

The previous prime is 242003002223317. The next prime is 242003002223501. The reversal of 242003002223320 is 23322200300242.

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, 3182913705 + ... + 3182989735.

It is an arithmetic number, because the mean of its divisors is an integer number (4585410466560).

Almost surely, 2242003002223320 is an apocalyptic number.

242003002223320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

242003002223320 is an abundant number, since it is smaller than the sum of its proper divisors (344929537496360).

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

242003002223320 is a wasteful number, since it uses less digits than its factorization.

242003002223320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 81617 (or 81613 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 25.

Adding to 242003002223320 its reverse (23322200300242), we get a palindrome (265325202523562).

The spelling of 242003002223320 in words is "two hundred forty-two trillion, three billion, two million, two hundred twenty-three thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 13 20 26 40 52 65 104 130 260 520 1511 3022 4051 6044 7555 8102 12088 15110 16204 19643 20255 30220 32408 39286 40510 52663 60440 76031 78572 81020 98215 105326 152062 157144 162040 196430 210652 263315 304124 380155 392860 421304 526630 608248 760310 785720 988403 1053260 1520620 1976806 2106520 3041240 3953612 4942015 6121061 7907224 9884030 12242122 19768060 24484244 30605305 39536120 48968488 61210610 79573793 114882841 122421220 159147586 229765682 244842440 308001581 318295172 397868965 459531364 574414205 616003162 636590344 795737930 919062728 1148828410 1232006324 1493476933 1540007905 1591475860 2297656820 2464012648 2986953866 3080015810 3182951720 4004020553 4595313640 5973907732 6160031620 7467384665 8008041106 11947815464 12320063240 14934769330 16016082212 20020102765 29869538660 32032164424 40040205530 59739077320 80080411060 160160822120 465390388891 930780777782 1861561555564 2326951944455 3723123111128 4653903888910 6050075055583 9307807777820 12100150111166 18615615555640 24200300222332 30250375277915 48400600444664 60500750555830 121001501111660 242003002223320