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101131223022984 = 23371197564172039
BaseRepresentation
bin10110111111101001110010…
…100111111011110110001000
3111021002001100211000012112010
4112333221302213323312020
5101223413221043213414
6555031013102015520
730205326661163310
oct2677516247736610
9437061324005463
10101131223022984
112a250568a024a0
12b413aa9b775a0
1344578307abb3b
141ad8ac4d28440
15ba59c6431959
hex5bfa729fbd88

101131223022984 has 128 divisors (see below), whose sum is σ = 318463833139200. Its totient is φ = 25997047511040.

The previous prime is 101131223022931. The next prime is 101131223023067. The reversal of 101131223022984 is 489220322131101.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 281906764 + ... + 282265275.

It is an arithmetic number, because the mean of its divisors is an integer number (2487998696400).

Almost surely, 2101131223022984 is an apocalyptic number.

101131223022984 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

101131223022984 is an abundant number, since it is smaller than the sum of its proper divisors (217332610116216).

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

101131223022984 is a wasteful number, since it uses less digits than its factorization.

101131223022984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 564172163 (or 564172159 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 39.

The spelling of 101131223022984 in words is "one hundred one trillion, one hundred thirty-one billion, two hundred twenty-three million, twenty-two thousand, nine hundred eighty-four".

Divisors: 1 2 3 4 6 7 8 11 12 14 21 22 24 28 33 42 44 56 66 77 84 88 97 132 154 168 194 231 264 291 308 388 462 582 616 679 776 924 1067 1164 1358 1848 2037 2134 2328 2716 3201 4074 4268 5432 6402 7469 8148 8536 12804 14938 16296 22407 25608 29876 44814 59752 89628 179256 564172039 1128344078 1692516117 2256688156 3385032234 3949204273 4513376312 6205892429 6770064468 7898408546 11847612819 12411784858 13540128936 15796817092 18617677287 23695225638 24823569716 31593634184 37235354574 43441247003 47390451276 49647139432 54724687783 74470709148 86882494006 94780902552 109449375566 130323741009 148941418296 164174063349 173764988012 218898751132 260647482018 328348126698 347529976024 383072814481 437797502264 521294964036 601971565613 656696253396 766145628962 1042589928072 1149218443443 1203943131226 1313392506792 1532291257924 1805914696839 2298436886886 2407886262452 3064582515848 3611829393678 4213800959291 4596873773772 4815772524904 7223658787356 8427601918582 9193747547544 12641402877873 14447317574712 16855203837164 25282805755746 33710407674328 50565611511492 101131223022984