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106221571500012 = 2233110319309143573
BaseRepresentation
bin11000001001101110100011…
…000010010110011111101100
3111221002200102221201111200020
4120021232203002112133230
5102410313234301000022
61013525303304002140
731242153364264143
oct3011564302263754
9457080387644606
10106221571500012
1130933351a14a91
12bab6551460350
1347368609372a7
141c332199a075a
15c431008b735c
hex609ba30967ec

106221571500012 has 96 divisors (see below), whose sum is σ = 258344620584960. Its totient is φ = 33930359274240.

The previous prime is 106221571499999. The next prime is 106221571500017. The reversal of 106221571500012 is 210005175122601.

106221571500012 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1062215715000122 (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (106221571500017) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 739771858 + ... + 739915430.

It is an arithmetic number, because the mean of its divisors is an integer number (2691089797760).

Almost surely, 2106221571500012 is an apocalyptic number.

106221571500012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

106221571500012 is an abundant number, since it is smaller than the sum of its proper divisors (152123049084948).

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

106221571500012 is a wasteful number, since it uses less digits than its factorization.

106221571500012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 163023 (or 163021 counting only the distinct ones).

The product of its (nonzero) digits is 8400, while the sum is 33.

The spelling of 106221571500012 in words is "one hundred six trillion, two hundred twenty-one billion, five hundred seventy-one million, five hundred thousand, twelve".

Divisors: 1 2 3 4 6 12 31 62 93 103 124 186 206 309 372 412 618 1236 3193 6386 9579 12772 19158 19309 38316 38618 57927 77236 115854 143573 231708 287146 430719 574292 598579 861438 1197158 1722876 1795737 1988827 2394316 3591474 3977654 4450763 5966481 7182948 7955308 8901526 11932962 13352289 14788019 17803052 23865924 26704578 29576038 44364057 53409156 59152076 61653637 88728114 123307274 177456228 184960911 246614548 369921822 458428589 739843644 916857178 1375285767 1833714356 2750571534 2772251057 5501143068 5544502114 8316753171 11089004228 16633506342 33267012684 85939782767 171879565534 257819348301 285541858871 343759131068 515638696602 571083717742 856625576613 1031277393204 1142167435484 1713251153226 3426502306452 8851797625001 17703595250002 26555392875003 35407190500004 53110785750006 106221571500012