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31022103300100 = 22521179941379369
BaseRepresentation
bin1110000110110111001010…
…11100101000100000000100
311001211200110201101011112121
413003123211130220200010
513031231231421100400
6145551205120055324
76351162432162343
oct703334534504004
9131750421334477
1031022103300100
119980444628510
12359035b764544
1314404aaa87693
14793699183b5a
1538be51c7621a
hex1c36e5728804

31022103300100 has 144 divisors (see below), whose sum is σ = 74446597612800. Its totient is φ = 11126104704000.

The previous prime is 31022103300091. The next prime is 31022103300127. The reversal of 31022103300100 is 100330122013.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 81583216 + ... + 81962584.

It is an arithmetic number, because the mean of its divisors is an integer number (516990261200).

Almost surely, 231022103300100 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 31022103300100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37223298806400).

31022103300100 is an abundant number, since it is smaller than the sum of its proper divisors (43424494312700).

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

31022103300100 is a wasteful number, since it uses less digits than its factorization.

31022103300100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 380414 (or 380407 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 16.

Adding to 31022103300100 its reverse (100330122013), we get a palindrome (31122433422113).

The spelling of 31022103300100 in words is "thirty-one trillion, twenty-two billion, one hundred three million, three hundred thousand, one hundred".

Divisors: 1 2 4 5 10 11 20 22 25 44 50 55 79 100 110 158 220 275 316 395 550 790 869 941 1100 1580 1738 1882 1975 3476 3764 3950 4345 4705 7900 8690 9410 10351 17380 18820 20702 21725 23525 41404 43450 47050 51755 74339 86900 94100 103510 148678 207020 258775 297356 371695 379369 517550 743390 758738 817729 1035100 1486780 1517476 1635458 1858475 1896845 3270916 3716950 3793690 4088645 4173059 7433900 7587380 8177290 8346118 9484225 16354580 16692236 18968450 20443225 20865295 29970151 37936900 40886450 41730590 59940302 81772900 83461180 104326475 119880604 149850755 208652950 299701510 329671661 356986229 417305900 599403020 659343322 713972458 749253775 1318686644 1427944916 1498507550 1648358305 1784931145 2997015100 3296716610 3569862290 3926848519 6593433220 7139724580 7853697038 8241791525 8924655725 15707394076 16483583050 17849311450 19634242595 28201912091 32967166100 35698622900 39268485190 56403824182 78536970380 98171212975 112807648364 141009560455 196342425950 282019120910 310221033001 392684851900 564038241820 620442066002 705047802275 1240884132004 1410095604550 1551105165005 2820191209100 3102210330010 6204420660020 7755525825025 15511051650050 31022103300100