Search a number
-
+
20010244022112 = 253792903908881
BaseRepresentation
bin1001000110010111111110…
…11111001001111101100000
32121211221221022101202012010
410203023333133021331200
510110321434432201422
6110320325035032520
74133456333540361
oct443137737117540
977757838352163
1020010244022112
11641532a0a2513
1222b215229b740
13b21c5b6cc996
144d2702981b68
1524a7a4396b0c
hex1232ff7c9f60

20010244022112 has 96 divisors (see below), whose sum is σ = 53210169492480. Its totient is φ = 6583374120960.

The previous prime is 20010244022089. The next prime is 20010244022129. The reversal of 20010244022112 is 21122044201002.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×200102440221122 (a number of 27 digits) contains 22 as substring.

It is a congruent number.

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, 21561912 + ... + 22470792.

It is an arithmetic number, because the mean of its divisors is an integer number (554272598880).

Almost surely, 220010244022112 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20010244022112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26605084746240).

20010244022112 is an abundant number, since it is smaller than the sum of its proper divisors (33199925470368).

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

20010244022112 is a wasteful number, since it uses less digits than its factorization.

20010244022112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 911876 (or 911868 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 21.

Adding to 20010244022112 its reverse (21122044201002), we get a palindrome (41132288223114).

The spelling of 20010244022112 in words is "twenty trillion, ten billion, two hundred forty-four million, twenty-two thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 79 96 158 237 316 474 632 948 1264 1896 2528 2903 3792 5806 7584 8709 11612 17418 23224 34836 46448 69672 92896 139344 229337 278688 458674 688011 908881 917348 1376022 1817762 1834696 2726643 2752044 3635524 3669392 5453286 5504088 7271048 7338784 10906572 11008176 14542096 21813144 22016352 29084192 43626288 71801599 87252576 143603198 215404797 287206396 430809594 574412792 861619188 1148825584 1723238376 2297651168 2638481543 3446476752 5276963086 6892953504 7915444629 10553926172 15830889258 21107852344 31661778516 42215704688 63323557032 84431409376 126647114064 208440041897 253294228128 416880083794 625320125691 833760167588 1250640251382 1667520335176 2501280502764 3335040670352 5002561005528 6670081340704 10005122011056 20010244022112