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142124210021100 = 223521735378944737
BaseRepresentation
bin100000010100001011011111…
…000011010110001011101100
3200122012221102120011020022010
4200110023133003112023230
5122112030340231133400
61222134543303521220
741636064262405416
oct4024133703261354
9618187376136263
10142124210021100
11413155a242832a
1213b3475a459210
13613c342436178
142714bc42a79b6
151166e9bd7d450
hex8142df0d62ec

142124210021100 has 144 divisors (see below), whose sum is σ = 436635135625248. Its totient is φ = 35569340252160.

The previous prime is 142124210021047. The next prime is 142124210021113. The reversal of 142124210021100 is 1120012421241.

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, 37672069 + ... + 41272668.

It is an arithmetic number, because the mean of its divisors is an integer number (3032188441842).

Almost surely, 2142124210021100 is an apocalyptic number.

142124210021100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

142124210021100 is an abundant number, since it is smaller than the sum of its proper divisors (294510925604148).

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

142124210021100 is a wasteful number, since it uses less digits than its factorization.

142124210021100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 78945124 (or 78945117 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 21.

Adding to 142124210021100 its reverse (1120012421241), we get a palindrome (143244222442341).

The spelling of 142124210021100 in words is "one hundred forty-two trillion, one hundred twenty-four billion, two hundred ten million, twenty-one thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 17 20 25 30 34 50 51 60 68 75 85 100 102 150 170 204 255 300 340 353 425 510 706 850 1020 1059 1275 1412 1700 1765 2118 2550 3530 4236 5100 5295 6001 7060 8825 10590 12002 17650 18003 21180 24004 26475 30005 35300 36006 52950 60010 72012 90015 105900 120020 150025 180030 300050 360060 450075 600100 900150 1800300 78944737 157889474 236834211 315778948 394723685 473668422 789447370 947336844 1184171055 1342060529 1578894740 1973618425 2368342110 2684121058 3947236850 4026181587 4736684220 5368242116 5920855275 6710302645 7894473700 8052363174 11841710550 13420605290 16104726348 20130907935 23683421100 26841210580 27867492161 33551513225 40261815870 55734984322 67103026450 80523631740 83602476483 100654539675 111469968644 134206052900 139337460805 167204952966 201309079350 278674921610 334409905932 402618158700 418012382415 473747366737 557349843220 696687304025 836024764830 947494733474 1393374608050 1421242100211 1672049529660 1894989466948 2090061912075 2368736833685 2786749216100 2842484200422 4180123824150 4737473667370 5684968400844 7106210501055 8360247648300 9474947334740 11843684168425 14212421002110 23687368336850 28424842004220 35531052505275 47374736673700 71062105010550 142124210021100