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10120070655123 = 31121316371310041
BaseRepresentation
bin1001001101000100001100…
…1101110110110010010011
31022211110200010100111221020
42103101003031312302103
52311301401041430443
633305032443530523
72063102533152312
oct223210315666223
938743603314836
1010120070655123
113251997067400
121175407229a43
1358541ab80650
1426db579c8279
151283a6203583
hex93443376c93

10120070655123 has 48 divisors (see below), whose sum is σ = 15982281832608. Its totient is φ = 5658115161600.

The previous prime is 10120070655109. The next prime is 10120070655133. The reversal of 10120070655123 is 32155607002101.

It is a de Polignac number, because none of the positive numbers 2k-10120070655123 is a prime.

It is a super-2 number, since 2×101200706551232 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is not an unprimeable number, because it can be changed into a prime (10120070655133) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7069983 + ... + 8380023.

It is an arithmetic number, because the mean of its divisors is an integer number (332964204846).

Almost surely, 210120070655123 is an apocalyptic number.

10120070655123 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

10120070655123 is a deficient number, since it is larger than the sum of its proper divisors (5862211177485).

10120070655123 is a wasteful number, since it uses less digits than its factorization.

10120070655123 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1311716 (or 1311705 counting only the distinct ones).

The product of its (nonzero) digits is 12600, while the sum is 33.

Adding to 10120070655123 its reverse (32155607002101), we get a palindrome (42275677657224).

The spelling of 10120070655123 in words is "ten trillion, one hundred twenty billion, seventy million, six hundred fifty-five thousand, one hundred twenty-three".

Divisors: 1 3 11 13 33 39 121 143 363 429 1573 1637 4719 4911 18007 21281 54021 63843 198077 234091 594231 702273 1310041 2575001 3930123 7725003 14410451 17030533 43231353 51091599 158514961 187335863 475544883 562007589 2060694493 2144537117 6182083479 6433611351 23589908287 27878982521 70769724861 83636947563 259488991157 306668807731 778466973471 920006423193 3373356885041 10120070655123