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123422513136 = 243131917336007
BaseRepresentation
bin111001011110010001…
…1100001011111110000
3102210120112020021220020
41302330203201133300
54010232130410021
6132411032443440
711626345023546
oct1627443413760
9383515207806
10123422513136
114838587797a
121bb05b49580
13b83c293480
145d8bad3d96
1533256a87c6
hex1cbc8e17f0

123422513136 has 160 divisors (see below), whose sum is σ = 361708515840. Its totient is φ = 35950666752.

The previous prime is 123422513119. The next prime is 123422513197. The reversal of 123422513136 is 631315224321.

It is a junction number, because it is equal to n+sod(n) for n = 123422513097 and 123422513106.

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, 20543445 + ... + 20549451.

It is an arithmetic number, because the mean of its divisors is an integer number (2260678224).

Almost surely, 2123422513136 is an apocalyptic number.

123422513136 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 123422513136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (180854257920).

123422513136 is an abundant number, since it is smaller than the sum of its proper divisors (238286002704).

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

123422513136 is a wasteful number, since it uses less digits than its factorization.

123422513136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7783 (or 7777 counting only the distinct ones).

The product of its digits is 25920, while the sum is 33.

Adding to 123422513136 its reverse (631315224321), we get a palindrome (754737737457).

The spelling of 123422513136 in words is "one hundred twenty-three billion, four hundred twenty-two million, five hundred thirteen thousand, one hundred thirty-six".

Divisors: 1 2 3 4 6 8 12 13 16 19 24 26 38 39 48 52 57 76 78 104 114 152 156 208 228 247 304 312 456 494 624 741 912 988 1482 1733 1976 2964 3466 3952 5199 5928 6007 6932 10398 11856 12014 13864 18021 20796 22529 24028 27728 32927 36042 41592 45058 48056 65854 67587 72084 78091 83184 90116 96112 98781 114133 131708 135174 144168 156182 180232 197562 228266 234273 263416 270348 288336 312364 342399 360464 395124 428051 456532 468546 526832 540696 624728 684798 790248 856102 913064 937092 1081392 1249456 1284153 1369596 1483729 1580496 1712204 1826128 1874184 2568306 2739192 2967458 3424408 3748368 4451187 5136612 5478384 5934916 6848816 8902374 10273224 10410131 11869832 17804748 20546448 20820262 23739664 31230393 35609496 41640524 62460786 71218992 83281048 124921572 135331703 166562096 197792489 249843144 270663406 395584978 405995109 499686288 541326812 593377467 791169956 811990218 1082653624 1186754934 1582339912 1623980436 2165307248 2373509868 2571302357 3164679824 3247960872 4747019736 5142604714 6495921744 7713907071 9494039472 10285209428 15427814142 20570418856 30855628284 41140837712 61711256568 123422513136