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1107214666152 = 2337197293911383
BaseRepresentation
bin10000000111001011001…
…000110000100110101000
310220211220200201210010020
4100013023020300212220
5121120033423304102
62204351500520440
7142664545243440
oct20071310604650
93824820653106
101107214666152
113976268a5501
1215a703b50120
1380543701bba
143b837743120
151dc0406ebbc
hex101cb2309a8

1107214666152 has 128 divisors (see below), whose sum is σ = 3180889958400. Its totient is φ = 314606492928.

The previous prime is 1107214666141. The next prime is 1107214666199. The reversal of 1107214666152 is 2516664127011.

It is a Harshad number since it is a multiple of its sum of digits (42).

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, 97263453 + ... + 97274835.

It is an arithmetic number, because the mean of its divisors is an integer number (24850702800).

Almost surely, 21107214666152 is an apocalyptic number.

1107214666152 is a gapful number since it is divisible by the number (12) 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 1107214666152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1590444979200).

1107214666152 is an abundant number, since it is smaller than the sum of its proper divisors (2073675292248).

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

1107214666152 is a wasteful number, since it uses less digits than its factorization.

1107214666152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14535 (or 14531 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 42.

The spelling of 1107214666152 in words is "one trillion, one hundred seven billion, two hundred fourteen million, six hundred sixty-six thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 56 84 168 197 394 591 788 1182 1379 1576 2364 2758 2939 4137 4728 5516 5878 8274 8817 11032 11383 11756 16548 17634 20573 22766 23512 33096 34149 35268 41146 45532 61719 68298 70536 79681 82292 91064 123438 136596 159362 164584 239043 246876 273192 318724 478086 493752 578983 637448 956172 1157966 1736949 1912344 2242451 2315932 3473898 4052881 4484902 4631864 6727353 6947796 8105762 8969804 12158643 13454706 13895592 15697157 16211524 17939608 24317286 26909412 31394314 32423048 33454637 47091471 48634572 53818824 62788628 66909274 94182942 97269144 100363911 125577256 133818548 188365884 200727822 234182459 267637096 376731768 401455644 468364918 702547377 802911288 936729836 1405094754 1873459672 2810189508 5620379016 6590563489 13181126978 19771690467 26362253956 39543380934 46133944423 52724507912 79086761868 92267888846 138401833269 158173523736 184535777692 276803666538 369071555384 553607333076 1107214666152