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68315217114100 = 225211313754145373
BaseRepresentation
bin11111000100001111000000…
…01111111011001111110100
322221212212111221101102211011
433202013200033323033310
532423234031040122400
6401143324423122004
720250416523263425
oct1742074017731764
9287785457342734
1068315217114100
111a8493590a56a0
1277b3b43ba3304
132c17135ab7278
1412c268d0d764c
157d70800c68ba
hex3e21e03fb3f4

68315217114100 has 144 divisors (see below), whose sum is σ = 171449377537536. Its totient is φ = 23390800704000.

The previous prime is 68315217114061. The next prime is 68315217114181. The reversal of 68315217114100 is 141171251386.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 25810987 + ... + 28334386.

It is an arithmetic number, because the mean of its divisors is an integer number (1190620677344).

Almost surely, 268315217114100 is an apocalyptic number.

It is an amenable number.

68315217114100 is an abundant number, since it is smaller than the sum of its proper divisors (103134160423436).

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

68315217114100 is a wasteful number, since it uses less digits than its factorization.

68315217114100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 54145466 (or 54145459 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 40.

Adding to 68315217114100 its reverse (141171251386), we get a palindrome (68456388365486).

The spelling of 68315217114100 in words is "sixty-eight trillion, three hundred fifteen billion, two hundred seventeen million, one hundred fourteen thousand, one hundred".

Divisors: 1 2 4 5 10 11 20 22 25 31 37 44 50 55 62 74 100 110 124 148 155 185 220 275 310 341 370 407 550 620 682 740 775 814 925 1100 1147 1364 1550 1628 1705 1850 2035 2294 3100 3410 3700 4070 4588 5735 6820 8140 8525 10175 11470 12617 17050 20350 22940 25234 28675 34100 40700 50468 57350 63085 114700 126170 252340 315425 630850 1261700 54145373 108290746 216581492 270726865 541453730 595599103 1082907460 1191198206 1353634325 1678506563 2003378801 2382396412 2707268650 2977995515 3357013126 4006757602 5414537300 5955991030 6714026252 8013515204 8392532815 10016894005 11911982060 14889977575 16785065630 18463572193 20033788010 22037166811 29779955150 33570131260 36927144386 40067576020 41962664075 44074333622 50084470025 59559910300 62104742831 73854288772 83925328150 88148667244 92317860965 100168940050 110185834055 124209485662 167850656300 184635721930 200337880100 220371668110 248418971324 310523714155 369271443860 440743336220 461589304825 550929170275 621047428310 683152171141 923178609650 1101858340550 1242094856620 1366304342282 1552618570775 1846357219300 2203716681100 2732608684564 3105237141550 3415760855705 6210474283100 6831521711410 13663043422820 17078804278525 34157608557050 68315217114100