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211241400132 = 2237191311010357
BaseRepresentation
bin1100010010111011110…
…1111111011101000100
3202012020202221222110110
43010232331333131010
511430110244301012
6241013140153020
721155521163220
oct3045675773504
9665222858413
10211241400132
1181650299534
1234b34398770
1316bc6267a29
14a31d06d780
1557652e973c
hex312ef7f744

211241400132 has 96 divisors (see below), whose sum is σ = 597485306880. Its totient is φ = 56741592960.

The previous prime is 211241400107. The next prime is 211241400133. The reversal of 211241400132 is 231004142112.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a junction number, because it is equal to n+sod(n) for n = 211241400099 and 211241400108.

It is not an unprimeable number, because it can be changed into a prime (211241400133) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 296103 + ... + 714254.

It is an arithmetic number, because the mean of its divisors is an integer number (6223805280).

Almost surely, 2211241400132 is an apocalyptic number.

It is an amenable number.

211241400132 is an abundant number, since it is smaller than the sum of its proper divisors (386243906748).

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

211241400132 is a wasteful number, since it uses less digits than its factorization.

211241400132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1010521 (or 1010519 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 21.

Adding to 211241400132 its reverse (231004142112), we get a palindrome (442245542244).

The spelling of 211241400132 in words is "two hundred eleven billion, two hundred forty-one million, four hundred thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 7 12 14 19 21 28 38 42 57 76 84 114 131 133 228 262 266 393 399 524 532 786 798 917 1572 1596 1834 2489 2751 3668 4978 5502 7467 9956 11004 14934 17423 29868 34846 52269 69692 104538 209076 1010357 2020714 3031071 4041428 6062142 7072499 12124284 14144998 19196783 21217497 28289996 38393566 42434994 57590349 76787132 84869988 115180698 132356767 134377481 230361396 264713534 268754962 397070301 403132443 529427068 537509924 794140602 806264886 926497369 1588281204 1612529772 1852994738 2514778573 2779492107 3705989476 5029557146 5558984214 7544335719 10059114292 11117968428 15088671438 17603450011 30177342876 35206900022 52810350033 70413800044 105620700066 211241400132