Search a number
-
+
2002212010120 = 235719613613957
BaseRepresentation
bin11101001000101101001…
…000101011100010001000
321002102001121010121101211
4131020231020223202020
5230301012233310440
64131445320022504
7264440452165120
oct35105510534210
97072047117354
102002212010120
11702151533823
12284060901a34
13116a6690c4ba
146cc9c575c80
15371372bceea
hex1d22d22b888

2002212010120 has 128 divisors (see below), whose sum is σ = 5428371052800. Its totient is φ = 649280572416.

The previous prime is 2002212010109. The next prime is 2002212010133. The reversal of 2002212010120 is 210102122002.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 2002212010120.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2954182 + ... + 3568138.

It is an arithmetic number, because the mean of its divisors is an integer number (42409148850).

Almost surely, 22002212010120 is an apocalyptic number.

2002212010120 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 2002212010120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2714185526400).

2002212010120 is an abundant number, since it is smaller than the sum of its proper divisors (3426159042680).

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

2002212010120 is a wasteful number, since it uses less digits than its factorization.

2002212010120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 614607 (or 614603 counting only the distinct ones).

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

Adding to 2002212010120 its reverse (210102122002), we get a palindrome (2212314132122).

The spelling of 2002212010120 in words is "two trillion, two billion, two hundred twelve million, ten thousand, one hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 19 20 28 35 38 40 56 70 76 95 133 140 152 190 266 280 380 532 613 665 760 1064 1226 1330 2452 2660 3065 4291 4904 5320 6130 8582 11647 12260 17164 21455 23294 24520 34328 42910 46588 58235 81529 85820 93176 116470 163058 171640 232940 326116 407645 465880 613957 652232 815290 1227914 1630580 2455828 3069785 3261160 4297699 4911656 6139570 8595398 11665183 12279140 17190796 21488495 23330366 24558280 34381592 42976990 46660732 58325915 81656281 85953980 93321464 116651830 163312562 171907960 233303660 326625124 376355641 408281405 466607320 653250248 752711282 816562810 1505422564 1633125620 1881778205 2634489487 3010845128 3266251240 3763556410 5268978974 7150757179 7527112820 10537957948 13172447435 14301514358 15054225640 21075915896 26344894870 28603028716 35753785895 50055300253 52689789740 57206057432 71507571790 100110600506 105379579480 143015143580 200221201012 250276501265 286030287160 400442402024 500553002530 1001106005060 2002212010120