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2200034142108 = 2233112943117851
BaseRepresentation
bin100000000000111100010…
…000001110011110011100
321210022200011101010122000
4200000330100032132130
5242021132220021413
64402403130522300
7314642616441525
oct40007420163634
97708604333560
102200034142108
11779035a11500
122b646ab96390
1312c60197897a
14786a72db84c
153c364448073
hex2003c40e79c

2200034142108 has 144 divisors (see below), whose sum is σ = 6270473583360. Its totient is φ = 666568980000.

The previous prime is 2200034142077. The next prime is 2200034142221. The reversal of 2200034142108 is 8012414300022.

2200034142108 is a `hidden beast` number, since 2 + 200 + 0 + 34 + 1 + 421 + 0 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 123235383 + ... + 123253233.

It is an arithmetic number, because the mean of its divisors is an integer number (43544955440).

Almost surely, 22200034142108 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2200034142108, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3135236791680).

2200034142108 is an abundant number, since it is smaller than the sum of its proper divisors (4070439441252).

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

2200034142108 is a wasteful number, since it uses less digits than its factorization.

2200034142108 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27317 (or 27298 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

The spelling of 2200034142108 in words is "two trillion, two hundred billion, thirty-four million, one hundred forty-two thousand, one hundred eight".

Divisors: 1 2 3 4 6 9 11 12 18 22 27 33 36 44 54 66 99 108 121 132 198 242 297 363 396 484 594 726 1089 1188 1452 2178 3267 4356 6534 9431 13068 17851 18862 28293 35702 37724 53553 56586 71404 84879 103741 107106 113172 160659 169758 196361 207482 214212 254637 311223 321318 339516 392722 414964 481977 509274 589083 622446 642636 785444 933669 963954 1018548 1141151 1178166 1244892 1767249 1867338 1927908 2159971 2282302 2356332 2801007 3423453 3534498 3734676 4319942 4564604 5301747 5602014 6479913 6846906 7068996 8639884 10270359 10603494 11204028 12959826 13693812 19439739 20540718 21206988 25919652 30811077 38879478 41081436 58319217 61622154 77758956 116638434 123244308 168352781 233276868 336705562 505058343 673411124 1010116686 1515175029 1851880591 2020233372 3030350058 3703761182 4545525087 5555641773 6060700116 7407522364 9091050174 11111283546 16666925319 18182100348 20370686501 22222567092 33333850638 40741373002 50000775957 61112059503 66667701276 81482746004 100001551914 122224119006 183336178509 200003103828 244448238012 366672357018 550008535527 733344714036 1100017071054 2200034142108