Search a number
-
+
20100021000120 = 23325431298450969
BaseRepresentation
bin1001001000111111001101…
…00111001001011110111000
32122011112200000121202122200
410210133212213021132320
510113304320334000440
6110425453331150200
74143115154343135
oct444374647113670
978145600552580
1020100021000120
11644a409936906
122307628445360
13b2a568266b89
144d6bbbdc758c
1524ccaad6cc30
hex1247e69c97b8

20100021000120 has 96 divisors (see below), whose sum is σ = 66844255935600. Its totient is φ = 5235354302976.

The previous prime is 20100021000119. The next prime is 20100021000127. The reversal of 20100021000120 is 2100012000102.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20100021000127) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 649210005 + ... + 649240964.

Almost surely, 220100021000120 is an apocalyptic number.

20100021000120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20100021000120 is an abundant number, since it is smaller than the sum of its proper divisors (46744234935480).

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

20100021000120 is a wasteful number, since it uses less digits than its factorization.

20100021000120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1298451029 (or 1298451022 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

Adding to 20100021000120 its reverse (2100012000102), we get a palindrome (22200033000222).

The spelling of 20100021000120 in words is "twenty trillion, one hundred billion, twenty-one million, one hundred twenty", and thus it is an aban number.

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 43 45 60 72 86 90 120 129 172 180 215 258 344 360 387 430 516 645 774 860 1032 1290 1548 1720 1935 2580 3096 3870 5160 7740 15480 1298450969 2596901938 3895352907 5193803876 6492254845 7790705814 10387607752 11686058721 12984509690 15581411628 19476764535 23372117442 25969019380 31162823256 38953529070 46744234884 51938038760 55833391667 58430293605 77907058140 93488469768 111666783334 116860587210 155814116280 167500175001 223333566668 233721174420 279166958335 335000350002 446667133336 467442348840 502500525003 558333916670 670000700004 837500875005 1005001050006 1116667833340 1340001400008 1675001750010 2010002100012 2233335666680 2512502625015 3350003500020 4020004200024 5025005250030 6700007000040 10050010500060 20100021000120