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21023123120 = 2452943832539
BaseRepresentation
bin10011100101000100…
…110110011010110000
32000021010201022022122
4103211010312122300
5321023404414440
613354034253412
71342654412066
oct234504663260
960233638278
1021023123120
118a0900661a
1240a8727268
131ca064c92c
141036132036
158309b87b5
hex4e51366b0

21023123120 has 160 divisors (see below), whose sum is σ = 52384147200. Its totient is φ = 7831821312.

The previous prime is 21023123089. The next prime is 21023123123. The reversal of 21023123120 is 2132132012.

It is not an unprimeable number, because it can be changed into a prime (21023123123) 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, 8278811 + ... + 8281349.

It is an arithmetic number, because the mean of its divisors is an integer number (327400920).

Almost surely, 221023123120 is an apocalyptic number.

21023123120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21023123120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26192073600).

21023123120 is an abundant number, since it is smaller than the sum of its proper divisors (31361024080).

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

21023123120 is a wasteful number, since it uses less digits than its factorization.

21023123120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2707 (or 2701 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 17.

Adding to 21023123120 its reverse (2132132012), we get a palindrome (23155255132).

The spelling of 21023123120 in words is "twenty-one billion, twenty-three million, one hundred twenty-three thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 29 40 43 58 80 83 86 116 145 166 172 215 232 290 332 344 415 430 464 580 664 688 830 860 1160 1247 1328 1660 1720 2320 2407 2494 2539 3320 3440 3569 4814 4988 5078 6235 6640 7138 9628 9976 10156 12035 12470 12695 14276 17845 19256 19952 20312 24070 24940 25390 28552 35690 38512 40624 48140 49880 50780 57104 71380 73631 96280 99760 101560 103501 109177 142760 147262 192560 203120 207002 210737 218354 285520 294524 368155 414004 421474 436708 517505 545885 589048 736310 828008 842948 873416 1035010 1053685 1091770 1178096 1472620 1656016 1685896 1746832 2070020 2107370 2183540 2945240 3166133 3371792 4140040 4214740 4367080 5890480 6111373 6332266 8280080 8429480 8734160 9061691 12222746 12664532 15830665 16858960 18123382 24445492 25329064 30556865 31661330 36246764 45308455 48890984 50658128 61113730 63322660 72493528 90616910 97781968 122227460 126645320 144987056 181233820 244454920 253290640 262789039 362467640 488909840 525578078 724935280 1051156156 1313945195 2102312312 2627890390 4204624624 5255780780 10511561560 21023123120