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101123301312 = 2633115320039
BaseRepresentation
bin101111000101101101…
…0110001111111000000
3100200000110022221222000
41132023122301333000
53124100031120222
6114242211144000
710206633610305
oct1361332617700
9320013287860
10101123301312
1139982515aa0
1217721ba5000
1396c745b387
144c743070ac
15296cb749ac
hex178b6b1fc0

101123301312 has 112 divisors (see below), whose sum is σ = 324309638400. Its totient is φ = 30643418880.

The previous prime is 101123301239. The next prime is 101123301343. The reversal of 101123301312 is 213103321101.

101123301312 is a `hidden beast` number, since 10 + 1 + 12 + 330 + 1 + 312 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

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, 2641012 + ... + 2679027.

Almost surely, 2101123301312 is an apocalyptic number.

101123301312 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

101123301312 is an abundant number, since it is smaller than the sum of its proper divisors (223186337088).

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

101123301312 is a wasteful number, since it uses less digits than its factorization.

101123301312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5320071 (or 5320055 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 101123301312 its reverse (213103321101), we get a palindrome (314226622413).

The spelling of 101123301312 in words is "one hundred one billion, one hundred twenty-three million, three hundred one thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 27 32 33 36 44 48 54 64 66 72 88 96 99 108 132 144 176 192 198 216 264 288 297 352 396 432 528 576 594 704 792 864 1056 1188 1584 1728 2112 2376 3168 4752 6336 9504 19008 5320039 10640078 15960117 21280156 31920234 42560312 47880351 58520429 63840468 85120624 95760702 117040858 127680936 143641053 170241248 175561287 191521404 234081716 255361872 287282106 340482496 351122574 383042808 468163432 510723744 526683861 574564212 702245148 766085616 936326864 1021447488 1053367722 1149128424 1404490296 1532171232 1580051583 1872653728 2106735444 2298256848 2808980592 3064342464 3160103166 3745307456 4213470888 4596513696 5617961184 6320206332 8426941776 9193027392 11235922368 12640412664 16853883552 25280825328 33707767104 50561650656 101123301312