Search a number
-
+
101433434443011 = 321167011053114519
BaseRepresentation
bin10111000100000011001111…
…110101000000110100000011
3111022010221102110010000020200
4113010003033311000310003
5101243341133204134021
6555421513153340243
730236216030650446
oct2704031765006403
9438127373100220
10101433434443011
112a357750419350
12b46258bb67683
13447a19380a0b8
141b09593a3b65d
15bad7b2d16126
hex5c40cfd40d03

101433434443011 has 48 divisors (see below), whose sum is σ = 159884546215680. Its totient is φ = 61455565080000.

The previous prime is 101433434443009. The next prime is 101433434443031. The reversal of 101433434443011 is 110344434334101.

101433434443011 is a `hidden beast` number, since 1 + 0 + 1 + 4 + 3 + 3 + 4 + 344 + 4 + 301 + 1 = 666.

It is not a de Polignac number, because 101433434443011 - 21 = 101433434443009 is a prime.

It is a super-2 number, since 2×1014334344430112 (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (101433434443031) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6986247610 + ... + 6986262128.

It is an arithmetic number, because the mean of its divisors is an integer number (3330928046160).

Almost surely, 2101433434443011 is an apocalyptic number.

101433434443011 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

101433434443011 is a deficient number, since it is larger than the sum of its proper divisors (58451111772669).

101433434443011 is a wasteful number, since it uses less digits than its factorization.

101433434443011 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31768 (or 31765 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 36.

Adding to 101433434443011 its reverse (110344434334101), we get a palindrome (211777868777112).

The spelling of 101433434443011 in words is "one hundred one trillion, four hundred thirty-three billion, four hundred thirty-four million, four hundred forty-three thousand, eleven".

Divisors: 1 3 9 11 33 99 6701 10531 14519 20103 31593 43557 60309 73711 94779 115841 130671 159709 221133 347523 479127 663399 1042569 1437381 70568231 97291819 152899589 211704693 291875457 458698767 635114079 776250541 875626371 1070210009 1376096301 1681895479 2328751623 3210630027 5045686437 6986254869 9631890081 15137059311 1024580145889 3073740437667 9221221313001 11270381604779 33811144814337 101433434443011