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1014013330020 = 223353160574273
BaseRepresentation
bin11101100000101111110…
…01111000001001100100
310120221100022222100102000
432300113321320021210
5113103144403030040
62053455320445300
7133155124043415
oct16602771701144
93527308870360
101014013330020
1136104a0a9179
12144633019830
137480c593bb2
14371155cd80c
151b59bb2e130
hexec17e78264

1014013330020 has 96 divisors (see below), whose sum is σ = 3256472970240. Its totient is φ = 261680855040.

The previous prime is 1014013329911. The next prime is 1014013330061. The reversal of 1014013330020 is 200333104101.

1014013330020 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 1014013329975 and 1014013330002.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 30270397 + ... + 30303876.

It is an arithmetic number, because the mean of its divisors is an integer number (33921593440).

Almost surely, 21014013330020 is an apocalyptic number.

1014013330020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1014013330020 is an abundant number, since it is smaller than the sum of its proper divisors (2242459640220).

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

1014013330020 is a wasteful number, since it uses less digits than its factorization.

1014013330020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 60574322 (or 60574314 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 1014013330020 its reverse (200333104101), we get a palindrome (1214346434121).

The spelling of 1014013330020 in words is "one trillion, fourteen billion, thirteen million, three hundred thirty thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 31 36 45 54 60 62 90 93 108 124 135 155 180 186 270 279 310 372 465 540 558 620 837 930 1116 1395 1674 1860 2790 3348 4185 5580 8370 16740 60574273 121148546 181722819 242297092 302871365 363445638 545168457 605742730 726891276 908614095 1090336914 1211485460 1635505371 1817228190 1877802463 2180673828 2725842285 3271010742 3634456380 3755604926 5451684570 5633407389 6542021484 7511209852 8177526855 9389012315 10903369140 11266814778 16355053710 16900222167 18778024630 22533629556 28167036945 32710107420 33800444334 37556049260 50700666501 56334073890 67600888668 84501110835 101401333002 112668147780 169002221670 202802666004 253503332505 338004443340 507006665010 1014013330020