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23034423204120 = 23351951602916319
BaseRepresentation
bin1010011110011000111101…
…00111001101100100011000
310000120001212120001201211210
411033030132213031210120
511004343444320012440
6120553511250223120
74565116323465456
oct517143647154430
9100501776051753
1023034423204120
117380931435539
122700285884aa0
13cb11a16a4673
14598c2cbd79d6
1529e2a16c2a80
hex14f31e9cd918

23034423204120 has 128 divisors (see below), whose sum is σ = 69154394112000. Its totient is φ = 6137970009600.

The previous prime is 23034423204083. The next prime is 23034423204151. The reversal of 23034423204120 is 2140232443032.

It is a Harshad number since it is a multiple of its sum of digits (30).

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 31 ways as a sum of consecutive naturals, for example, 1411501321 + ... + 1411517639.

It is an arithmetic number, because the mean of its divisors is an integer number (540268704000).

Almost surely, 223034423204120 is an apocalyptic number.

23034423204120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

23034423204120 is an abundant number, since it is smaller than the sum of its proper divisors (46119970907880).

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

23034423204120 is a wasteful number, since it uses less digits than its factorization.

23034423204120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24313 (or 24309 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 30.

Adding to 23034423204120 its reverse (2140232443032), we get a palindrome (25174655647152).

The spelling of 23034423204120 in words is "twenty-three trillion, thirty-four billion, four hundred twenty-three million, two hundred four thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 1951 3902 5853 6029 7804 9755 11706 12058 15608 16319 18087 19510 23412 24116 29265 30145 32638 36174 39020 46824 48232 48957 58530 60290 65276 72348 78040 81595 90435 97914 117060 120580 130552 144696 163190 180870 195828 234120 241160 244785 326380 361740 391656 489570 652760 723480 979140 1958280 11762579 23525158 31838369 35287737 47050316 58812895 63676738 70575474 94100632 95515107 98387251 117625790 127353476 141150948 159191845 176438685 191030214 196774502 235251580 254706952 282301896 295161753 318383690 352877370 382060428 393549004 470503160 477575535 491936255 590323506 636767380 705754740 764120856 787098008 955151070 983872510 1180647012 1273534760 1411509480 1475808765 1910302140 1967745020 2361294024 2951617530 3820604280 3935490040 5903235060 11806470120 191953526701 383907053402 575860580103 767814106804 959767633505 1151721160206 1535628213608 1919535267010 2303442320412 2879302900515 3839070534020 4606884640824 5758605801030 7678141068040 11517211602060 23034423204120