Search a number
-
+
211203131220 = 223255383926387
BaseRepresentation
bin1100010010110010110…
…0000000011101010100
3202012011002221201101100
43010230230000131110
511430021000144340
6241005252030100
721154544665104
oct3045454003524
9665132851340
10211203131220
1181630730534
1234b23602330
1316bbb3590c3
14a317d4b204
155761c8a830
hex312cb00754

211203131220 has 144 divisors (see below), whose sum is σ = 653539985280. Its totient is φ = 55190224128.

The previous prime is 211203131213. The next prime is 211203131239. The reversal of 211203131220 is 22131302112.

211203131220 is a `hidden beast` number, since 211 + 20 + 313 + 122 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 211203131193 and 211203131202.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7990867 + ... + 8017253.

It is an arithmetic number, because the mean of its divisors is an integer number (4538472120).

Almost surely, 2211203131220 is an apocalyptic number.

211203131220 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 211203131220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (326769992640).

211203131220 is an abundant number, since it is smaller than the sum of its proper divisors (442336854060).

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

211203131220 is a wasteful number, since it uses less digits than its factorization.

211203131220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27294 (or 27289 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 211203131220 its reverse (22131302112), we get a palindrome (233334433332).

The spelling of 211203131220 in words is "two hundred eleven billion, two hundred three million, one hundred thirty-one thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 53 60 90 106 159 180 212 265 318 477 530 636 795 839 954 1060 1590 1678 1908 2385 2517 3180 3356 4195 4770 5034 7551 8390 9540 10068 12585 15102 16780 25170 26387 30204 37755 44467 50340 52774 75510 79161 88934 105548 131935 133401 151020 158322 177868 222335 237483 263870 266802 316644 395805 400203 444670 474966 527740 533604 667005 791610 800406 889340 949932 1187415 1334010 1398511 1583220 1600812 2001015 2374830 2668020 2797022 4002030 4195533 4749660 5594044 6992555 8004060 8391066 12586599 13985110 16782132 20977665 22138693 25173198 27970220 41955330 44277386 50346396 62932995 66416079 83910660 88554772 110693465 125865990 132832158 199248237 221386930 251731980 265664316 332080395 398496474 442773860 664160790 796992948 996241185 1173350729 1328321580 1992482370 2346701458 3520052187 3984964740 4693402916 5866753645 7040104374 10560156561 11733507290 14080208748 17600260935 21120313122 23467014580 35200521870 42240626244 52800782805 70401043740 105601565610 211203131220