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151253110242 = 23313259280913
BaseRepresentation
bin1000110011011101100…
…0110100110111100010
3112110102002102002222000
42030313120310313202
54434231244011432
6153252411024430
713633123136613
oct2146730646742
9473362362860
10151253110242
115916748a453
122539243b116
131135607a900
14746bd87c0a
153e03b0b57c
hex2337634de2

151253110242 has 96 divisors (see below), whose sum is σ = 370132286400. Its totient is φ = 45750451968.

The previous prime is 151253110219. The next prime is 151253110273. The reversal of 151253110242 is 242011352151.

It is a happy number.

151253110242 is a `hidden beast` number, since 1 + 512 + 5 + 3 + 1 + 102 + 42 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 397978 + ... + 678890.

It is an arithmetic number, because the mean of its divisors is an integer number (3855544650).

Almost surely, 2151253110242 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 151253110242, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (185066143200).

151253110242 is an abundant number, since it is smaller than the sum of its proper divisors (218879176158).

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

151253110242 is a wasteful number, since it uses less digits than its factorization.

151253110242 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 281009 (or 280990 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 27.

Adding to 151253110242 its reverse (242011352151), we get a palindrome (393264462393).

The spelling of 151253110242 in words is "one hundred fifty-one billion, two hundred fifty-three million, one hundred ten thousand, two hundred forty-two".

Divisors: 1 2 3 6 9 13 18 26 27 39 54 59 78 117 118 169 177 234 338 351 354 507 531 702 767 1014 1062 1521 1534 1593 2301 3042 3186 4563 4602 6903 9126 9971 13806 19942 20709 29913 41418 59826 89739 179478 269217 280913 538434 561826 842739 1685478 2528217 3651869 5056434 7303738 7584651 10955607 15169302 16573867 21911214 32866821 33147734 47474297 49721601 65733642 94948594 98600463 99443202 142422891 149164803 197200926 215460271 284845782 298329606 427268673 430920542 447494409 646380813 854537346 894988818 1281806019 1292761626 1939142439 2563612038 2800983523 3878284878 5601967046 5817427317 8402950569 11634854634 16805901138 25208851707 50417703414 75626555121 151253110242