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122103203110104 = 233196110974001527
BaseRepresentation
bin11011110000110101011110…
…000011000001110011011000
3121000022221201011111002011210
4123300311132003001303120
5112001014324444010404
61111405234230423120
734501444125513156
oct3360653603016330
9530287634432153
10122103203110104
11359a674aa28127
1211840503801aa0
135319389c8aaa8
142221b801383d6
15e1b2b7b82689
hex6f0d5e0c1cd8

122103203110104 has 128 divisors (see below), whose sum is σ = 326889624153600. Its totient is φ = 37892210365440.

The previous prime is 122103203110103. The next prime is 122103203110127. The reversal of 122103203110104 is 401011302301221.

It is a super-2 number, since 2×1221032031101042 (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122103203110103) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 28513389 + ... + 32514915.

It is an arithmetic number, because the mean of its divisors is an integer number (2553825188700).

Almost surely, 2122103203110104 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 122103203110104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163444812076800).

122103203110104 is an abundant number, since it is smaller than the sum of its proper divisors (204786421043496).

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

122103203110104 is a wasteful number, since it uses less digits than its factorization.

122103203110104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4002713 (or 4002709 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 21.

Adding to 122103203110104 its reverse (401011302301221), we get a palindrome (523114505411325).

The spelling of 122103203110104 in words is "one hundred twenty-two trillion, one hundred three billion, two hundred three million, one hundred ten thousand, one hundred four".

Divisors: 1 2 3 4 6 8 12 19 24 38 57 61 76 114 122 152 183 228 244 366 456 488 732 1097 1159 1464 2194 2318 3291 3477 4388 4636 6582 6954 8776 9272 13164 13908 20843 26328 27816 41686 62529 66917 83372 125058 133834 166744 200751 250116 267668 401502 500232 535336 803004 1271423 1606008 2542846 3814269 4001527 5085692 7628538 8003054 10171384 12004581 15257076 16006108 24009162 30514152 32012216 48018324 76029013 96036648 152058026 228087039 244093147 304116052 456174078 488186294 608232104 732279441 912348156 976372588 1464558882 1824696312 1952745176 2929117764 4389675119 4637769793 5858235528 8779350238 9275539586 13169025357 13913309379 17558700476 18551079172 26338050714 27826618758 35117400952 37102158344 52676101428 55653237516 83403827261 105352202856 111306475032 166807654522 250211481783 267770182259 333615309044 500422963566 535540364518 667230618088 803310546777 1000845927132 1071080729036 1606621093554 2001691854264 2142161458072 3213242187108 5087633462921 6426484374216 10175266925842 15262900388763 20350533851684 30525800777526 40701067703368 61051601555052 122103203110104