Search a number
-
+
20013000013020 = 2235771671126761
BaseRepresentation
bin1001000110011101000111…
…10000011011010011011100
32121212020001101021120222110
410203032203300123103130
510110343111000404040
6110321502325314020
74133614540222320
oct443164360332334
977766041246873
1020013000013020
116416513851253
1222b27a1265910
13b222aa68b631
144d28c49cb980
1524a8b62db980
hex1233a3c1b4dc

20013000013020 has 96 divisors (see below), whose sum is σ = 64943594505216. Its totient is φ = 4509971827200.

The previous prime is 20013000013001. The next prime is 20013000013087. The reversal of 20013000013020 is 2031000031002.

It is a happy number.

It is a super-2 number, since 2×200130000130202 (a number of 27 digits) contains 22 as substring.

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 = 20013000012987 and 20013000013005.

It is a congruent number.

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, 335533561 + ... + 335593200.

It is an arithmetic number, because the mean of its divisors is an integer number (676495776096).

Almost surely, 220013000013020 is an apocalyptic number.

20013000013020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20013000013020 is an abundant number, since it is smaller than the sum of its proper divisors (44930594492196).

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

20013000013020 is a wasteful number, since it uses less digits than its factorization.

20013000013020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 671126851 (or 671126849 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 12.

Adding to 20013000013020 its reverse (2031000031002), we get a palindrome (22044000044022).

The spelling of 20013000013020 in words is "twenty trillion, thirteen billion, thirteen thousand, twenty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 28 30 35 42 60 70 71 84 105 140 142 210 213 284 355 420 426 497 710 852 994 1065 1420 1491 1988 2130 2485 2982 4260 4970 5964 7455 9940 14910 29820 671126761 1342253522 2013380283 2684507044 3355633805 4026760566 4697887327 6711267610 8053521132 9395774654 10066901415 13422535220 14093661981 18791549308 20133802830 23489436635 28187323962 40267605660 46978873270 47650000031 56374647924 70468309905 93957746540 95300000062 140936619810 142950000093 190600000124 238250000155 281873239620 285900000186 333550000217 476500000310 571800000372 667100000434 714750000465 953000000620 1000650000651 1334200000868 1429500000930 1667750001085 2001300001302 2859000001860 3335500002170 4002600002604 5003250003255 6671000004340 10006500006510 20013000013020