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122133100323102 = 2311172930509123031
BaseRepresentation
bin11011110001010001010100…
…000011110110000100011110
3121000102210212202100212021220
4123301101110003312010132
5112002012042140314402
61111431101031434210
734503553036601361
oct3361212403660436
9530383782325256
10122133100323102
1135a083a2146820
1211846268225966
13531c142c7497b
1422233b8a680d8
15e1be67755dbc
hex6f14540f611e

122133100323102 has 128 divisors (see below), whose sum is σ = 291888203443200. Its totient is φ = 33630457190400.

The previous prime is 122133100323089. The next prime is 122133100323133. The reversal of 122133100323102 is 201323001331221.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 992640327 + ... + 992763357.

It is an arithmetic number, because the mean of its divisors is an integer number (2280376589400).

Almost surely, 2122133100323102 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 122133100323102, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145944101721600).

122133100323102 is an abundant number, since it is smaller than the sum of its proper divisors (169755103120098).

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

122133100323102 is a wasteful number, since it uses less digits than its factorization.

122133100323102 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 153602.

The product of its (nonzero) digits is 1296, while the sum is 24.

Adding to 122133100323102 its reverse (201323001331221), we get a palindrome (323456101654323).

The spelling of 122133100323102 in words is "one hundred twenty-two trillion, one hundred thirty-three billion, one hundred million, three hundred twenty-three thousand, one hundred two".

Divisors: 1 2 3 6 11 17 22 29 33 34 51 58 66 87 102 174 187 319 374 493 561 638 957 986 1122 1479 1914 2958 5423 10846 16269 30509 32538 61018 91527 123031 183054 246062 335599 369093 518653 671198 738186 884761 1006797 1037306 1353341 1555959 1769522 2013594 2091527 2654283 2706682 3111918 3567899 4060023 4183054 5308566 5705183 6274581 7135798 8120046 9732371 10703697 11410366 12549162 15040937 17115549 19464742 21407394 23006797 29197113 30081874 34231098 39246889 45122811 46013594 58394226 60654283 69020391 78493778 90245622 117740667 121308566 138040782 165450307 181962849 235481334 330900614 363925698 496350921 667197113 992701842 1334394226 2001591339 3753552779 4003182678 7507105558 11260658337 22521316674 41289080569 63810397243 82578161138 108853030591 123867241707 127620794486 191431191729 217706061182 247734483414 326559091773 382862383458 653118183546 701914369673 1197383336501 1403828739346 1850501520047 2105743109019 2394766673002 3592150009503 3701003040094 4211486218038 5551504560141 7184300019006 11103009120282 20355516720517 40711033441034 61066550161551 122133100323102