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123312232152320 = 2851123169350671
BaseRepresentation
bin11100000010011011011101…
…110010110011110100000000
3121011121112102110221001121012
4130002123131302303310000
5112130321422412333240
61114132505111020052
734655005032016361
oct3402333562636400
9534545373831535
10123312232152320
1136322473341282
12119b68a106a628
1353a63a8053b13
1422644b5877b68
15e3c97a384b65
hex7026ddcb3d00

123312232152320 has 144 divisors (see below), whose sum is σ = 295814810387712. Its totient is φ = 49250889768960.

The previous prime is 123312232152301. The next prime is 123312232152371. The reversal of 123312232152320 is 23251232213321.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2433560585 + ... + 2433611255.

Almost surely, 2123312232152320 is an apocalyptic number.

123312232152320 is a gapful number since it is divisible by the number (10) 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 123312232152320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147907405193856).

123312232152320 is an abundant number, since it is smaller than the sum of its proper divisors (172502578235392).

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

123312232152320 is a wasteful number, since it uses less digits than its factorization.

123312232152320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 53508 (or 53494 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 32.

Adding to 123312232152320 its reverse (23251232213321), we get a palindrome (146563464365641).

The spelling of 123312232152320 in words is "one hundred twenty-three trillion, three hundred twelve billion, two hundred thirty-two million, one hundred fifty-two thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 160 256 320 640 1123 1280 1693 2246 3386 4492 5615 6772 8465 8984 11230 13544 16930 17968 22460 27088 33860 35936 44920 50671 54176 67720 71872 89840 101342 108352 135440 143744 179680 202684 216704 253355 270880 287488 359360 405368 433408 506710 541760 718720 810736 1013420 1083520 1437440 1621472 1901239 2026840 2167040 3242944 3802478 4053680 6485888 7604956 8107360 9506195 12971776 15209912 16214720 19012390 30419824 32429440 38024780 56903533 60839648 64858880 76049560 85786003 113807066 121679296 152099120 171572006 227614132 243358592 284517665 304198240 343144012 428930015 455228264 486717184 569035330 608396480 686288024 857860030 910456528 1138070660 1216792960 1372576048 1715720060 1820913056 2276141320 2433585920 2745152096 3431440120 3641826112 4552282640 5490304192 6862880240 7283652224 9104565280 10980608384 13725760480 14567304448 18209130560 21961216768 27451520960 36418261120 54903041920 72836522240 96337681369 109806083840 192675362738 385350725476 481688406845 770701450952 963376813690 1541402901904 1926753627380 3082805803808 3853507254760 6165611607616 7707014509520 12331223215232 15414029019040 24662446430464 30828058038080 61656116076160 123312232152320