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87012111121078 = 211137313730420773
BaseRepresentation
bin10011110010001100010101…
…111110010111101010110110
3102102002021110122000200211011
4103302030111332113222312
542401101300421333303
6505020451221302434
724220263141165463
oct2362142576275266
9372067418020734
1087012111121078
11257a76a1365a60
129913643b64a1a
13397228c65aa80
14176b5a149266a
15a0d5b850816d
hex4f2315f97ab6

87012111121078 has 64 divisors (see below), whose sum is σ = 156571099820352. Its totient is φ = 35745623930880.

The previous prime is 87012111121051. The next prime is 87012111121081.

87012111121078 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×870121111210782 (a number of 29 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 87012111121078.

It is a congruent number.

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, 12350101 + ... + 18070672.

It is an arithmetic number, because the mean of its divisors is an integer number (2446423434693).

Almost surely, 287012111121078 is an apocalyptic number.

87012111121078 is a deficient number, since it is larger than the sum of its proper divisors (69558988699274).

87012111121078 is a wasteful number, since it uses less digits than its factorization.

87012111121078 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30421009.

The product of its (nonzero) digits is 12544, while the sum is 40.

It can be divided in two parts, 8701211 and 1121078, that added together give a palindrome (9822289).

The spelling of 87012111121078 in words is "eighty-seven trillion, twelve billion, one hundred eleven million, one hundred twenty-one thousand, seventy-eight".

Divisors: 1 2 11 13 22 26 73 137 143 146 274 286 803 949 1507 1606 1781 1898 3014 3562 10001 10439 19591 20002 20878 39182 110011 130013 220022 260026 1430143 2860286 30420773 60841546 334628503 395470049 669257006 790940098 2220716429 4167645901 4350170539 4441432858 8335291802 8700341078 24427880719 28869313577 45844104911 48855761438 54179396713 57738627154 91688209822 108358793426 304238150773 317562449347 595973363843 608476301546 635124898694 1191946727686 3346619658503 3955095960049 6693239317006 7910191920098 43506055560539 87012111121078