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23010032320 = 2651115143291
BaseRepresentation
bin10101011011100000…
…010011101011000000
32012101121102202100021
4111123200103223000
5334111032013240
614323132503224
71443132022222
oct253340235300
965347382307
1023010032320
119838621940
12456201ab14
132229192652
141183d80412
158ea14254a
hex55b813ac0

23010032320 has 112 divisors (see below), whose sum is σ = 60171031296. Its totient is φ = 8311680000.

The previous prime is 23010032299. The next prime is 23010032323. The reversal of 23010032320 is 2323001032.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 23010032294 and 23010032303.

It is not an unprimeable number, because it can be changed into a prime (23010032323) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 509875 + ... + 553165.

Almost surely, 223010032320 is an apocalyptic number.

23010032320 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 23010032320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30085515648).

23010032320 is an abundant number, since it is smaller than the sum of its proper divisors (37160998976).

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

23010032320 is a wasteful number, since it uses less digits than its factorization.

23010032320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 43470 (or 43460 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 16.

Adding to 23010032320 its reverse (2323001032), we get a palindrome (25333033352).

The spelling of 23010032320 in words is "twenty-three billion, ten million, thirty-two thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 11 16 20 22 32 40 44 55 64 80 88 110 151 160 176 220 302 320 352 440 604 704 755 880 1208 1510 1661 1760 2416 3020 3322 3520 4832 6040 6644 8305 9664 12080 13288 16610 24160 26576 33220 43291 48320 53152 66440 86582 106304 132880 173164 216455 265760 346328 432910 476201 531520 692656 865820 952402 1385312 1731640 1904804 2381005 2770624 3463280 3809608 4762010 6536941 6926560 7619216 9524020 13073882 13853120 15238432 19048040 26147764 30476864 32684705 38096080 52295528 65369410 71906351 76192160 104591056 130738820 143812702 152384320 209182112 261477640 287625404 359531755 418364224 522955280 575250808 719063510 1045910560 1150501616 1438127020 2091821120 2301003232 2876254040 4602006464 5752508080 11505016160 23010032320