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1201010132322 = 23271113371801517
BaseRepresentation
bin10001011110100001110…
…010000100010101100010
311020211000110110011000200
4101132201302010111202
5124134132043213242
62315423023130030
7152525102454150
oct21364162042542
94224013404020
101201010132322
11423388a004a0
1217491ba43916
1389340961a40
14421b47523d0
152139371e04c
hex117a1c84562

1201010132322 has 192 divisors, whose sum is σ = 3588277964544. Its totient is φ = 280171768320.

The previous prime is 1201010132303. The next prime is 1201010132339. The reversal of 1201010132322 is 2232310101021.

1201010132322 is a `hidden beast` number, since 1 + 201 + 0 + 10 + 132 + 322 = 666.

It is a super-2 number, since 2×12010101323222 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 1201010132295 and 1201010132304.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 234093 + ... + 1567424.

It is an arithmetic number, because the mean of its divisors is an integer number (18688947732).

Almost surely, 21201010132322 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1201010132322, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1794138982272).

1201010132322 is an abundant number, since it is smaller than the sum of its proper divisors (2387267832222).

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

1201010132322 is a wasteful number, since it uses less digits than its factorization.

1201010132322 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1801593 (or 1801590 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 1201010132322 its reverse (2232310101021), we get a palindrome (3433320233343).

The spelling of 1201010132322 in words is "one trillion, two hundred one billion, ten million, one hundred thirty-two thousand, three hundred twenty-two".