Search a number
-
+
100142301000 = 2335374768681
BaseRepresentation
bin101110101000011110…
…0100011111101001000
3100120111002101222112010
41131100330203331020
53120042412113000
6114001005015520
710143422341140
oct1352074437510
9316432358463
10100142301000
1139519799a35
12174a95545a0
13959c144211
144bbdd03920
152911997d50
hex1750f23f48

100142301000 has 128 divisors (see below), whose sum is σ = 357078908160. Its totient is φ = 22889664000.

The previous prime is 100142300983. The next prime is 100142301011. The reversal of 100142301000 is 103241001.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (12).

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 31 ways as a sum of consecutive naturals, for example, 2363341 + ... + 2405340.

It is an arithmetic number, because the mean of its divisors is an integer number (2789678970).

Almost surely, 2100142301000 is an apocalyptic number.

100142301000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100142301000 is an abundant number, since it is smaller than the sum of its proper divisors (256936607160).

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

100142301000 is a wasteful number, since it uses less digits than its factorization.

100142301000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4768712 (or 4768698 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

Adding to 100142301000 its reverse (103241001), we get a palindrome (100245542001).

The spelling of 100142301000 in words is "one hundred billion, one hundred forty-two million, three hundred one thousand".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 20 21 24 25 28 30 35 40 42 50 56 60 70 75 84 100 105 120 125 140 150 168 175 200 210 250 280 300 350 375 420 500 525 600 700 750 840 875 1000 1050 1400 1500 1750 2100 2625 3000 3500 4200 5250 7000 10500 21000 4768681 9537362 14306043 19074724 23843405 28612086 33380767 38149448 47686810 57224172 66761534 71530215 95373620 100142301 114448344 119217025 133523068 143060430 166903835 190747240 200284602 238434050 267046136 286120860 333807670 357651075 400569204 476868100 500711505 572241720 596085125 667615340 715302150 801138408 834519175 953736200 1001423010 1192170250 1335230680 1430604300 1669038350 1788255375 2002846020 2384340500 2503557525 2861208600 3338076700 3576510750 4005692040 4172595875 4768681000 5007115050 6676153400 7153021500 8345191750 10014230100 12517787625 14306043000 16690383500 20028460200 25035575250 33380767000 50071150500 100142301000