Search a number
-
+
22002101211020 = 22571348071165799
BaseRepresentation
bin1010000000010110000110…
…11011010100111110001100
32212220101021021002221021012
411000023003123110332030
510340440300402223040
6114443343055224352
74430412402356420
oct500130333247614
985811237087235
1022002101211020
1170130475a3857
1225741a32180b8
13c37a34c6b228
14560c9bbd0b80
152824d2569865
hex1402c36d4f8c

22002101211020 has 48 divisors (see below), whose sum is σ = 52805479910400. Its totient is φ = 7543515129024.

The previous prime is 22002101211011. The next prime is 22002101211031. The reversal of 22002101211020 is 2011210120022.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a junction number, because it is equal to n+sod(n) for n = 22002101210986 and 22002101211004.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 18290081 + ... + 19455879.

It is an arithmetic number, because the mean of its divisors is an integer number (1100114164800).

Almost surely, 222002101211020 is an apocalyptic number.

22002101211020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22002101211020 is an abundant number, since it is smaller than the sum of its proper divisors (30803378699380).

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

22002101211020 is a wasteful number, since it uses less digits than its factorization.

22002101211020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1300622 (or 1300620 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 22002101211020 its reverse (2011210120022), we get a palindrome (24013311331042).

The spelling of 22002101211020 in words is "twenty-two trillion, two billion, one hundred one million, two hundred eleven thousand, twenty".

Divisors: 1 2 4 5 7 10 14 20 28 35 70 140 134807 269614 539228 674035 943649 1165799 1348070 1887298 2331598 2696140 3774596 4663196 4718245 5828995 8160593 9436490 11657990 16321186 18872980 23315980 32642372 40802965 81605930 163211860 157157865793 314315731586 628631463172 785789328965 1100105060551 1571578657930 2200210121102 3143157315860 4400420242204 5500525302755 11001050605510 22002101211020