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12100211788 = 22717192714937
BaseRepresentation
bin10110100010011101…
…01001010001001100
31011020021200110002011
423101032221101030
5144240123234123
65320405311004
7605566050250
oct132116512114
934207613064
1012100211788
11514a288235
122418405464
1311aab50842
1482b066260
154ac467e0d
hex2d13a944c

12100211788 has 96 divisors (see below), whose sum is σ = 27077621760. Its totient is φ = 4605880320.

The previous prime is 12100211759. The next prime is 12100211789. The reversal of 12100211788 is 88711200121.

It is not an unprimeable number, because it can be changed into a prime (12100211789) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2448456 + ... + 2453392.

It is an arithmetic number, because the mean of its divisors is an integer number (282058560).

Almost surely, 212100211788 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 12100211788, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13538810880).

12100211788 is an abundant number, since it is smaller than the sum of its proper divisors (14977409972).

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

12100211788 is a wasteful number, since it uses less digits than its factorization.

12100211788 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5255 (or 5253 counting only the distinct ones).

The product of its (nonzero) digits is 1792, while the sum is 31.

The spelling of 12100211788 in words is "twelve billion, one hundred million, two hundred eleven thousand, seven hundred eighty-eight".

Divisors: 1 2 4 7 14 17 19 28 34 38 68 76 119 133 238 266 271 323 476 532 542 646 1084 1292 1897 2261 3794 4522 4607 4937 5149 7588 9044 9214 9874 10298 18428 19748 20596 32249 34559 36043 64498 69118 72086 83929 87533 93803 128996 138236 144172 167858 175066 187606 335716 350132 375212 587503 612731 656621 1175006 1225462 1313242 1337927 1594651 2350012 2450924 2626484 2675854 3189302 5351708 6378604 9365489 11162557 18730978 22325114 22744759 25420613 37461956 44650228 45489518 50841226 90979036 101682452 159213313 177944291 318426626 355888582 432150421 636853252 711777164 864300842 1728601684 3025052947 6050105894 12100211788