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1021151256156 = 2232732691444483
BaseRepresentation
bin11101101110000010101…
…10111001111001011100
310121121202210020120021200
432313001112321321130
5113212304210144111
62101035503155500
7133530036314613
oct16670126717134
93547683216250
101021151256156
11364082298789
12145aa55a5b90
13753a932c225
14375d15b087a
151b8685e0256
hexedc15b9e5c

1021151256156 has 72 divisors (see below), whose sum is σ = 2626331919120. Its totient is φ = 334472696064.

The previous prime is 1021151256127. The next prime is 1021151256239. The reversal of 1021151256156 is 6516521511201.

1021151256156 is a `hidden beast` number, since 1 + 0 + 2 + 1 + 15 + 1 + 25 + 615 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 1021151256156.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 15310 + ... + 1429173.

It is an arithmetic number, because the mean of its divisors is an integer number (36476832210).

Almost surely, 21021151256156 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1021151256156, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1313165959560).

1021151256156 is an abundant number, since it is smaller than the sum of its proper divisors (1605180662964).

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

1021151256156 is a wasteful number, since it uses less digits than its factorization.

1021151256156 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1444835 (or 1444830 counting only the distinct ones).

The product of its (nonzero) digits is 18000, while the sum is 36.

Adding to 1021151256156 its reverse (6516521511201), we get a palindrome (7537672767357).

The spelling of 1021151256156 in words is "one trillion, twenty-one billion, one hundred fifty-one million, two hundred fifty-six thousand, one hundred fifty-six".

Divisors: 1 2 3 4 6 9 12 18 36 73 146 219 269 292 438 538 657 807 876 1076 1314 1614 2421 2628 3228 4842 9684 19637 39274 58911 78548 117822 176733 235644 353466 706932 1444483 2888966 4333449 5777932 8666898 13000347 17333796 26000694 52001388 105447259 210894518 316341777 388565927 421789036 632683554 777131854 949025331 1165697781 1265367108 1554263708 1898050662 2331395562 3497093343 3796101324 4662791124 6994186686 13988373372 28365312671 56730625342 85095938013 113461250684 170191876026 255287814039 340383752052 510575628078 1021151256156