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103101531142434 = 23118321012245141
BaseRepresentation
bin10111011100010100110010…
…001000111011100100100010
3111112001102001222100020112120
4113130110302020323210202
5102003203413433024214
61003140104535005110
730500561024650056
oct2734246210734442
9445042058306476
10103101531142434
112a940128529a20
12b691926209796
13456b58175c806
141b661d8257c66
15bdbd92899ea9
hex5dc53223b922

103101531142434 has 96 divisors (see below), whose sum is σ = 229946150438208. Its totient is φ = 30560845680000.

The previous prime is 103101531142433. The next prime is 103101531142459. The reversal of 103101531142434 is 434241135101301.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a junction number, because it is equal to n+sod(n) for n = 103101531142395 and 103101531142404.

It is not an unprimeable number, because it can be changed into a prime (103101531142433) 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, 44799504 + ... + 47044644.

It is an arithmetic number, because the mean of its divisors is an integer number (2395272400398).

Almost surely, 2103101531142434 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 103101531142434, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114973075219104).

103101531142434 is an abundant number, since it is smaller than the sum of its proper divisors (126844619295774).

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

103101531142434 is a wasteful number, since it uses less digits than its factorization.

103101531142434 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2245424 (or 2245341 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 33.

Adding to 103101531142434 its reverse (434241135101301), we get a palindrome (537342666243735).

The spelling of 103101531142434 in words is "one hundred three trillion, one hundred one billion, five hundred thirty-one million, one hundred forty-two thousand, four hundred thirty-four".

Divisors: 1 2 3 6 11 22 33 66 83 101 166 202 249 303 498 606 913 1111 1826 2222 2739 3333 5478 6666 6889 8383 13778 16766 20667 25149 41334 50298 75779 92213 151558 184426 227337 276639 454674 553278 695789 1391578 2087367 2245141 4174734 4490282 6735423 7653679 13470846 15307358 22961037 24696551 45922074 49393102 74089653 148179306 186346703 226759241 372693406 453518482 559040109 680277723 1118080218 1360555446 2049813733 2494351651 4099627466 4988703302 6149441199 7483054953 12298882398 14966109906 15466776349 18821017003 30933552698 37642034006 46400329047 56463051009 92800658094 112926102018 170134539839 207031187033 340269079678 414062374066 510403619517 621093561099 1020807239034 1242187122198 1562144411249 3124288822498 4686433233747 9372866467494 17183588523739 34367177047478 51550765571217 103101531142434