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100240213293 = 321143137171877
BaseRepresentation
bin101110101011011001…
…0000100010100101101
3100120201220122102221100
41131112302010110231
53120242443311133
6114014423353313
710146021516543
oct1352662042455
9316656572840
10100240213293
1139569a94990
12175162b2839
1395b650669c
144bccd0dd93
15291a388e13
hex1756c8452d

100240213293 has 48 divisors (see below), whose sum is σ = 162808341696. Its totient is φ = 58905342720.

The previous prime is 100240213267. The next prime is 100240213313. The reversal of 100240213293 is 392312042001.

It is a happy number.

It is not a de Polignac number, because 100240213293 - 212 = 100240209197 is a prime.

It is a super-2 number, since 2×1002402132932 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100240213253) 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, 497271 + ... + 669147.

It is an arithmetic number, because the mean of its divisors is an integer number (3391840452).

Almost surely, 2100240213293 is an apocalyptic number.

It is an amenable number.

100240213293 is a deficient number, since it is larger than the sum of its proper divisors (62568128403).

100240213293 is a wasteful number, since it uses less digits than its factorization.

100240213293 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 172074 (or 172071 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

Adding to 100240213293 its reverse (392312042001), we get a palindrome (492552255294).

The spelling of 100240213293 in words is "one hundred billion, two hundred forty million, two hundred thirteen thousand, two hundred ninety-three".

Divisors: 1 3 9 11 33 43 99 129 137 387 411 473 1233 1419 1507 4257 4521 5891 13563 17673 53019 64801 171877 194403 515631 583209 1546893 1890647 5671941 7390711 17015823 22172133 23547149 66516399 70641447 81297821 211924341 243893463 259018639 731680389 777055917 1012527407 2331167751 3037582221 9112746663 11137801477 33413404431 100240213293