Search a number
-
+
102212011000 = 2353119292001
BaseRepresentation
bin101111100110001001…
…1111000001111111000
3100202211022221010220001
41133030103320033320
53133312233323000
6114542222042344
710245623521111
oct1371423701770
9322738833801
10102212011000
113a391019770
12179867193b4
13983bb880a8
144d38b47208
1529d352a46a
hex17cc4f83f8

102212011000 has 64 divisors (see below), whose sum is σ = 260919416160. Its totient is φ = 37168000000.

The previous prime is 102212010931. The next prime is 102212011003. The reversal of 102212011000 is 110212201.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102212011003) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4635001 + ... + 4657000.

Almost surely, 2102212011000 is an apocalyptic number.

102212011000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102212011000 is an abundant number, since it is smaller than the sum of its proper divisors (158707405160).

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

102212011000 is a wasteful number, since it uses less digits than its factorization.

102212011000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9292033 (or 9292019 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 102212011000 its reverse (110212201), we get a palindrome (102322223201).

It can be divided in two parts, 10221201 and 1000, that added together give a palindrome (10222201).

The spelling of 102212011000 in words is "one hundred two billion, two hundred twelve million, eleven thousand".

Divisors: 1 2 4 5 8 10 11 20 22 25 40 44 50 55 88 100 110 125 200 220 250 275 440 500 550 1000 1100 1375 2200 2750 5500 11000 9292001 18584002 37168004 46460005 74336008 92920010 102212011 185840020 204424022 232300025 371680040 408848044 464600050 511060055 817696088 929200100 1022120110 1161500125 1858400200 2044240220 2323000250 2555300275 4088480440 4646000500 5110600550 9292001000 10221201100 12776501375 20442402200 25553002750 51106005500 102212011000