Search a number
-
+
531301420100 = 2252111014782191
BaseRepresentation
bin1111011101101000000…
…10000100110001000100
31212210101022100121101002
413232310002010301010
532201101130420400
61044024305152432
753246100362033
oct7566402046104
91783338317332
10531301420100
11195361889730
1286b7792b718
133b142027329
141ba0243c71a
15dc48b2ced5
hex7bb4084c44

531301420100 has 72 divisors (see below), whose sum is σ = 1270188452736. Its totient is φ = 191287600000.

The previous prime is 531301420073. The next prime is 531301420163. The reversal of 531301420100 is 1024103135.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2279996 + ... + 2502195.

It is an arithmetic number, because the mean of its divisors is an integer number (17641506288).

Almost surely, 2531301420100 is an apocalyptic number.

531301420100 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

531301420100 is an abundant number, since it is smaller than the sum of its proper divisors (738887032636).

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

531301420100 is a wasteful number, since it uses less digits than its factorization.

531301420100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4782317 (or 4782310 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 20.

Adding to 531301420100 its reverse (1024103135), we get a palindrome (532325523235).

The spelling of 531301420100 in words is "five hundred thirty-one billion, three hundred one million, four hundred twenty thousand, one hundred".

Divisors: 1 2 4 5 10 11 20 22 25 44 50 55 100 101 110 202 220 275 404 505 550 1010 1100 1111 2020 2222 2525 4444 5050 5555 10100 11110 22220 27775 55550 111100 4782191 9564382 19128764 23910955 47821910 52604101 95643820 105208202 119554775 210416404 239109550 263020505 478219100 483001291 526041010 966002582 1052082020 1315102525 1932005164 2415006455 2630205050 4830012910 5260410100 5313014201 9660025820 10626028402 12075032275 21252056804 24150064550 26565071005 48300129100 53130142010 106260284020 132825355025 265650710050 531301420100