Search a number
-
+
100240011235 = 57213194673547
BaseRepresentation
bin101110101011011000…
…1010010111111100011
3100120201220021011202201
41131112301102333203
53120242420324420
6114014415154031
710146020015500
oct1352661227743
9316656234681
10100240011235
11395699670a1
1217516215917
1395b6465720
144bccc9a4a7
15291a34910a
hex1756c52fe3

100240011235 has 96 divisors (see below), whose sum is σ = 159006032640. Its totient is φ = 59963597568.

The previous prime is 100240011217. The next prime is 100240011239. The reversal of 100240011235 is 532110042001.

It is a de Polignac number, because none of the positive numbers 2k-100240011235 is a prime.

It is a super-4 number, since 4×1002400112354 (a number of 45 digits) contains 4444 as substring.

It is a Harshad number since it is a multiple of its sum of digits (19).

It is not an unprimeable number, because it can be changed into a prime (100240011239) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 28258732 + ... + 28262278.

It is an arithmetic number, because the mean of its divisors is an integer number (1656312840).

Almost surely, 2100240011235 is an apocalyptic number.

100240011235 is a deficient number, since it is larger than the sum of its proper divisors (58766021405).

100240011235 is a wasteful number, since it uses less digits than its factorization.

100240011235 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4065 (or 4058 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 19.

Adding to 100240011235 its reverse (532110042001), we get a palindrome (632350053236).

The spelling of 100240011235 in words is "one hundred billion, two hundred forty million, eleven thousand, two hundred thirty-five".

Divisors: 1 5 7 13 19 35 49 65 91 95 133 245 247 455 467 637 665 931 1235 1729 2335 3185 3269 3547 4655 6071 8645 8873 12103 16345 17735 22883 24829 30355 42497 44365 46111 60515 62111 67393 114415 115349 124145 173803 212485 230555 297479 310555 322777 336965 434777 471751 576745 807443 869015 876109 1487395 1613885 1656449 2173885 2259439 2358755 3302257 4037215 4380545 5652101 6132763 8282245 11297195 11595143 16511285 21533837 28260505 30663815 31472531 42929341 57975715 81166001 107669185 150736859 157362655 214646705 220307717 405830005 409142903 753684295 1055158013 1101538585 1542154019 2045714515 2864000321 5275790065 7710770095 14320001605 20048002247 100240011235