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2023132214004 = 22311312711824397
BaseRepresentation
bin11101011100001100000…
…100111011001011110100
321011102001120012002001220
4131130030010323023310
5231121333321322004
64145225240350340
7266111050036146
oct35341404731364
97142046162056
102023132214004
11710007434620
1228811aa753b0
13118a1bb35975
146dcc4b56c96
153795dc06dd9
hex1d70c13b2f4

2023132214004 has 96 divisors (see below), whose sum is σ = 5335532224512. Its totient is φ = 591104304000.

The previous prime is 2023132214003. The next prime is 2023132214011. The reversal of 2023132214004 is 4004122313202.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2023132214003) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 196734 + ... + 2021130.

It is an arithmetic number, because the mean of its divisors is an integer number (55578460672).

Almost surely, 22023132214004 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 2023132214004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2667766112256).

2023132214004 is an abundant number, since it is smaller than the sum of its proper divisors (3312400010508).

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

2023132214004 is a wasteful number, since it uses less digits than its factorization.

2023132214004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1824717 (or 1824715 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 2023132214004 its reverse (4004122313202), we get a palindrome (6027254527206).

The spelling of 2023132214004 in words is "two trillion, twenty-three billion, one hundred thirty-two million, two hundred fourteen thousand, four".

Divisors: 1 2 3 4 6 11 12 22 31 33 44 62 66 93 124 132 186 271 341 372 542 682 813 1023 1084 1364 1626 2046 2981 3252 4092 5962 8401 8943 11924 16802 17886 25203 33604 35772 50406 92411 100812 184822 277233 369644 554466 1108932 1824397 3648794 5473191 7297588 10946382 20068367 21892764 40136734 56556307 60205101 80273468 113112614 120410202 169668921 226225228 240820404 339337842 494411587 622119377 678675684 988823174 1244238754 1483234761 1866358131 1977646348 2488477508 2966469522 3732716262 5438527457 5932939044 7465432524 10877054914 15326759197 16315582371 21754109828 30653518394 32631164742 45980277591 61307036788 65262329484 91960555182 168594351167 183921110364 337188702334 505783053501 674377404668 1011566107002 2023132214004