Search a number
-
+
101040252352 = 2613177143683
BaseRepresentation
bin101111000011001110…
…1111110010111000000
3100122210200001122012121
41132012131332113000
53123412301033402
6114230043134024
710204604655124
oct1360635762700
9318720048177
10101040252352
113993a652096
12176ba214314
1396b31a1290
144c67289584
15296571c837
hex178677e5c0

101040252352 has 56 divisors (see below), whose sum is σ = 228626462736. Its totient is φ = 43890782208.

The previous prime is 101040252331. The next prime is 101040252367. The reversal of 101040252352 is 253252040101.

101040252352 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3557698 + ... + 3585985.

It is an arithmetic number, because the mean of its divisors is an integer number (4082615406).

Almost surely, 2101040252352 is an apocalyptic number.

It is an amenable number.

101040252352 is an abundant number, since it is smaller than the sum of its proper divisors (127586210384).

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

101040252352 is a wasteful number, since it uses less digits than its factorization.

101040252352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7143725 (or 7143715 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 25.

Adding to 101040252352 its reverse (253252040101), we get a palindrome (354292292453).

The spelling of 101040252352 in words is "one hundred one billion, forty million, two hundred fifty-two thousand, three hundred fifty-two".

Divisors: 1 2 4 8 13 16 17 26 32 34 52 64 68 104 136 208 221 272 416 442 544 832 884 1088 1768 3536 7072 14144 7143683 14287366 28574732 57149464 92867879 114298928 121442611 185735758 228597856 242885222 371471516 457195712 485770444 742943032 971540888 1485886064 1578753943 1943081776 2971772128 3157507886 3886163552 5943544256 6315015772 7772327104 12630031544 25260063088 50520126176 101040252352