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211334324130 = 23453719136919
BaseRepresentation
bin1100010011010010000…
…0011101111110100010
3202012111020211000020000
43010310200131332202
511430303041333010
6241030300000430
721161030054526
oct3046440357642
9665436730200
10211334324130
1181698797726
1234b5b530116
1316c0c5a1847
14a32b53bd86
15576d5527c0
hex313481dfa2

211334324130 has 160 divisors (see below), whose sum is σ = 586684200960. Its totient is φ = 54544129920.

The previous prime is 211334324129. The next prime is 211334324143. The reversal of 211334324130 is 31423433112.

It is a happy number.

211334324130 is a `hidden beast` number, since 2 + 1 + 1 + 334 + 324 + 1 + 3 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 211334324094 and 211334324103.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 5705811 + ... + 5742729.

It is an arithmetic number, because the mean of its divisors is an integer number (3666776256).

Almost surely, 2211334324130 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 211334324130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (293342100480).

211334324130 is an abundant number, since it is smaller than the sum of its proper divisors (375349876830).

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

211334324130 is a wasteful number, since it uses less digits than its factorization.

211334324130 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37166 (or 37157 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

Adding to 211334324130 its reverse (31423433112), we get a palindrome (242757757242).

The spelling of 211334324130 in words is "two hundred eleven billion, three hundred thirty-four million, three hundred twenty-four thousand, one hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 37 45 54 74 81 90 111 135 162 185 191 222 270 333 370 382 405 555 573 666 810 955 999 1110 1146 1665 1719 1910 1998 2865 2997 3330 3438 4995 5157 5730 5994 7067 8595 9990 10314 14134 14985 15471 17190 21201 25785 29970 30942 35335 36919 42402 51570 63603 70670 73838 77355 106005 110757 127206 154710 184595 190809 212010 221514 318015 332271 369190 381618 553785 572427 636030 664542 954045 996813 1107570 1144854 1366003 1661355 1908090 1993626 2732006 2862135 2990439 3322710 4098009 4984065 5724270 5980878 6830015 7051529 8196018 9968130 12294027 13660030 14103058 14952195 20490045 21154587 24588054 29904390 35257645 36882081 40980090 42309174 61470135 63463761 70515290 73764162 105772935 110646243 122940270 126927522 184410405 190391283 211545870 221292486 260906573 317318805 368820810 380782566 521813146 553231215 571173849 634637610 782719719 951956415 1106462430 1142347698 1304532865 1565439438 1903912830 2348159157 2609065730 2855869245 3913598595 4696318314 5711738490 7044477471 7827197190 11740795785 14088954942 21133432413 23481591570 35222387355 42266864826 70444774710 105667162065 211334324130