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3023132304213 = 3372115114092
BaseRepresentation
bin101011111111100000101…
…110100010001101010101
3101201000020021210002022000
4223333200232202031111
5344012333332213323
610232450253025513
7431262015412200
oct53774056421525
911630207702260
103023132304213
11a6611541126a
12409aa0a85299
1318c107133588
14a646b1c4937
155398a489e43
hex2bfe0ba2355

3023132304213 has 72 divisors (see below), whose sum is σ = 5218163112960. Its totient is φ = 1724778316800.

The previous prime is 3023132304197. The next prime is 3023132304223. The reversal of 3023132304213 is 3124032313203.

3023132304213 is a `hidden beast` number, since 3 + 0 + 2 + 3 + 1 + 3 + 230 + 421 + 3 = 666.

It is not a de Polignac number, because 3023132304213 - 24 = 3023132304197 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3023132304223) by changing a digit.

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 71 ways as a sum of consecutive naturals, for example, 2145586453 + ... + 2145587861.

It is an arithmetic number, because the mean of its divisors is an integer number (72474487680).

Almost surely, 23023132304213 is an apocalyptic number.

It is an amenable number.

3023132304213 is a deficient number, since it is larger than the sum of its proper divisors (2195030808747).

3023132304213 is an equidigital number, since it uses as much as digits as its factorization.

3023132304213 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3992 (or 2570 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 27.

Adding to 3023132304213 its reverse (3124032313203), we get a palindrome (6147164617416).

The spelling of 3023132304213 in words is "three trillion, twenty-three billion, one hundred thirty-two million, three hundred four thousand, two hundred thirteen".

Divisors: 1 3 7 9 21 27 49 63 147 189 441 1151 1323 1409 3453 4227 8057 9863 10359 12681 24171 29589 31077 38043 56399 69041 72513 88767 169197 207123 217539 266301 507591 621369 1522773 1621759 1864107 1985281 4865277 5955843 11352313 13896967 14595831 17867529 34056939 41690901 43787493 53602587 79466191 97278769 102170817 125072703 238398573 291836307 306512451 375218109 715195719 875508921 2145587157 2285058431 2626526763 6855175293 15995409017 20565525879 47986227051 61696577637 111967863119 143958681153 335903589357 431876043459 1007710768071 3023132304213