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2012335250022 = 2341738312831487
BaseRepresentation
bin11101010010001000100…
…001110001101001100110
321010101012002210110220000
4131102020201301221212
5230432230311000042
64140242024122130
7265246354254066
oct35221041615146
97111162713800
102012335250022
11706476872799
12286007006346
131179bacb9496
146d57cc193a6
153752adc174c
hex1d488871a66

2012335250022 has 160 divisors (see below), whose sum is σ = 4793782321152. Its totient is φ = 628758602496.

The previous prime is 2012335249997. The next prime is 2012335250089. The reversal of 2012335250022 is 2200525332102.

2012335250022 is a `hidden beast` number, since 2 + 0 + 123 + 35 + 2 + 500 + 2 + 2 = 666.

It is a super-2 number, since 2×20123352500222 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1353284563 + ... + 1353286049.

Almost surely, 22012335250022 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2012335250022, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2396891160576).

2012335250022 is an abundant number, since it is smaller than the sum of its proper divisors (2781447071130).

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

2012335250022 is a wasteful number, since it uses less digits than its factorization.

2012335250022 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3184 (or 3175 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 27.

The spelling of 2012335250022 in words is "two trillion, twelve billion, three hundred thirty-five million, two hundred fifty thousand, twenty-two".

Divisors: 1 2 3 6 9 17 18 27 34 51 54 81 102 153 162 306 383 459 766 918 1149 1283 1377 1487 2298 2566 2754 2974 3447 3849 4461 6511 6894 7698 8922 10341 11547 13022 13383 19533 20682 21811 23094 25279 26766 31023 34641 39066 40149 43622 50558 58599 62046 65433 69282 75837 80298 103923 117198 120447 130866 151674 175797 196299 207846 227511 240894 351594 392598 455022 491389 527391 569521 588897 682533 982778 1054782 1139042 1177794 1365066 1474167 1708563 1766691 1907821 2047599 2948334 3417126 3533382 3815642 4095198 4422501 5125689 5723463 8353613 8845002 9681857 10251378 11446926 13267503 15377067 16707226 17170389 19363714 25060839 26535006 29045571 30754134 32432957 34340778 39802509 46131201 50121678 51511167 58091142 64865914 75182517 79605018 87136713 92262402 97298871 103022334 150365034 154533501 174273426 194597742 225547551 261410139 291896613 309067002 451095102 522820278 583793226 676642653 730695443 784230417 875689839 1353285306 1461390886 1568460834 1751379678 2192086329 2627069517 4384172658 5254139034 6576258987 12421822531 13152517974 19728776961 24843645062 37265467593 39457553922 59186330883 74530935186 111796402779 118372661766 223592805558 335389208337 670778416674 1006167625011 2012335250022