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2212142412122 = 271731378291879
BaseRepresentation
bin100000001100001101111…
…101100111000101011010
321211110221000012222111222
4200030031331213011122
5242220431424141442
64412124425052042
7315551644153346
oct40141575470532
97743830188458
102212142412122
117831897a2a25
122b888a027022
131307b138b296
14790d5460626
153c8224538d2
hex2030df6715a

2212142412122 has 64 divisors (see below), whose sum is σ = 3441917836800. Its totient is φ = 1065848232960.

The previous prime is 2212142412101. The next prime is 2212142412149.

2212142412122 is nontrivially palindromic in base 10.

It is a junction number, because it is equal to n+sod(n) for n = 2212142412091 and 2212142412100.

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, 1177296779 + ... + 1177298657.

It is an arithmetic number, because the mean of its divisors is an integer number (53779966200).

Almost surely, 22212142412122 is an apocalyptic number.

2212142412122 is a deficient number, since it is larger than the sum of its proper divisors (1229775424678).

2212142412122 is a wasteful number, since it uses less digits than its factorization.

2212142412122 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2991.

The product of its digits is 2048, while the sum is 26.

The spelling of 2212142412122 in words is "two trillion, two hundred twelve billion, one hundred forty-two million, four hundred twelve thousand, one hundred twenty-two".

Divisors: 1 2 71 73 137 142 146 274 829 1658 1879 3758 5183 9727 10001 10366 19454 20002 58859 60517 113573 117718 121034 133409 137167 227146 257423 266818 274334 514846 710071 1420142 1557691 3115382 4296707 8063683 8290829 8593414 9738857 16127366 16581658 18277033 18791879 19477714 36554066 37583758 110596061 113711443 213403667 221192122 227422886 426807334 588648859 1177297718 1334223409 2668446818 8073512453 15151660357 15578467691 16147024906 30303320714 31156935382 1106071206061 2212142412122