Search a number
-
+
102132221300032 = 2671131668544599
BaseRepresentation
bin10111001110001110000010…
…110001010100110101000000
3111101121202010002212100200011
4113032032002301110311000
5101341313242123100112
61001114521133034304
730340544440146130
oct2716160261246500
9441552102770604
10102132221300032
112a5a7039384740
12b555aaa325994
1344cb047830551
141b31323b90ac0
15bc1a60638aa7
hex5ce382c54d40

102132221300032 has 112 divisors (see below), whose sum is σ = 260828664422400. Its totient is φ = 38508168844800.

The previous prime is 102132221300017. The next prime is 102132221300101. The reversal of 102132221300032 is 230003122231201.

It is a tau number, because it is divible by the number of its divisors (112).

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a junction number, because it is equal to n+sod(n) for n = 102132221299976 and 102132221300012.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 334119532 + ... + 334425067.

Almost surely, 2102132221300032 is an apocalyptic number.

It is an amenable number.

102132221300032 is an abundant number, since it is smaller than the sum of its proper divisors (158696443122368).

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

102132221300032 is a wasteful number, since it uses less digits than its factorization.

102132221300032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 668544660 (or 668544650 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 22.

Adding to 102132221300032 its reverse (230003122231201), we get a palindrome (332135343531233).

The spelling of 102132221300032 in words is "one hundred two trillion, one hundred thirty-two billion, two hundred twenty-one million, three hundred thousand, thirty-two".

Divisors: 1 2 4 7 8 11 14 16 22 28 31 32 44 56 62 64 77 88 112 124 154 176 217 224 248 308 341 352 434 448 496 616 682 704 868 992 1232 1364 1736 1984 2387 2464 2728 3472 4774 4928 5456 6944 9548 10912 13888 19096 21824 38192 76384 152768 668544599 1337089198 2674178396 4679812193 5348356792 7353990589 9359624386 10696713584 14707981178 18719248772 20724882569 21393427168 29415962356 37438497544 41449765138 42786854336 51477934123 58831924712 74876995088 82899530276 102955868246 117663849424 145074177983 149753990176 165799060552 205911736492 227973708259 235327698848 290148355966 299507980352 331598121104 411823472984 455947416518 470655397696 580296711932 663196242208 823646945968 911894833036 1160593423864 1326392484416 1595815957813 1647293891936 1823789666072 2321186847728 3191631915626 3294587783872 3647579332144 4642373695456 6383263831252 7295158664288 9284747390912 12766527662504 14590317328576 25533055325008 51066110650016 102132221300032