Search a number
-
+
20100021211020 = 22351318707293701
BaseRepresentation
bin1001001000111111001101…
…00111111100111110001100
32122011112200001000110221210
410210133212213330332030
510113304320412223040
6110425453335454420
74143115156212042
oct444374647747614
978145601013853
1020100021211020
11644a409a70303
122307628527410
13b2a56830bb7a
144d6bbc040392
1524ccaadb0480
hex1247e69fcf8c

20100021211020 has 96 divisors (see below), whose sum is σ = 56716384386816. Its totient is φ = 5318460576000.

The previous prime is 20100021211003. The next prime is 20100021211051. The reversal of 20100021211020 is 2011212000102.

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

It is a junction number, because it is equal to n+sod(n) for n = 20100021210987 and 20100021211005.

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, 68290170 + ... + 68583870.

It is an arithmetic number, because the mean of its divisors is an integer number (590795670696).

Almost surely, 220100021211020 is an apocalyptic number.

20100021211020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20100021211020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28358192193408).

20100021211020 is an abundant number, since it is smaller than the sum of its proper divisors (36616363175796).

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

20100021211020 is a wasteful number, since it uses less digits than its factorization.

20100021211020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 302551 (or 302549 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 20100021211020 its reverse (2011212000102), we get a palindrome (22111233211122).

The spelling of 20100021211020 in words is "twenty trillion, one hundred billion, twenty-one million, two hundred eleven thousand, twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 131 262 393 524 655 786 1310 1572 1965 2620 3930 7860 8707 17414 26121 34828 43535 52242 87070 104484 130605 174140 261210 293701 522420 587402 881103 1140617 1174804 1468505 1762206 2281234 2937010 3421851 3524412 4405515 4562468 5703085 5874020 6843702 8811030 11406170 13687404 17109255 17622060 22812340 34218510 38474831 68437020 76949662 115424493 153899324 192374155 230848986 384748310 461697972 577122465 769496620 1154244930 2308489860 2557254607 5114509214 7671763821 10229018428 12786273035 15343527642 25572546070 30687055284 38358819105 51145092140 76717638210 153435276420 335000353517 670000707034 1005001060551 1340001414068 1675001767585 2010002121102 3350003535170 4020004242204 5025005302755 6700007070340 10050010605510 20100021211020