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10401305320 = 2357377271381
BaseRepresentation
bin10011010111111011…
…10101001011101000
3222211212220001112101
421223331311023220
5132300213232240
64440040023144
7515516431210
oct115375651350
928755801471
1010401305320
1144582a16aa
122023461ab4
13c99b97c43
14709587240
1540d22d39a
hex26bf752e8

10401305320 has 128 divisors (see below), whose sum is σ = 27526786560. Its totient is φ = 3462497280.

The previous prime is 10401305297. The next prime is 10401305339. The reversal of 10401305320 is 2350310401.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7531030 + ... + 7532410.

It is an arithmetic number, because the mean of its divisors is an integer number (215053020).

Almost surely, 210401305320 is an apocalyptic number.

10401305320 is a gapful number since it is divisible by the number (10) 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 10401305320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13763393280).

10401305320 is an abundant number, since it is smaller than the sum of its proper divisors (17125481240).

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

10401305320 is a wasteful number, since it uses less digits than its factorization.

10401305320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2163 (or 2159 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 19.

Adding to 10401305320 its reverse (2350310401), we get a palindrome (12751615721).

The spelling of 10401305320 in words is "ten billion, four hundred one million, three hundred five thousand, three hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 37 40 56 70 74 140 148 185 259 280 296 370 518 727 740 1036 1295 1381 1454 1480 2072 2590 2762 2908 3635 5089 5180 5524 5816 6905 7270 9667 10178 10360 11048 13810 14540 19334 20356 25445 26899 27620 29080 38668 40712 48335 50890 51097 53798 55240 77336 96670 101780 102194 107596 134495 188293 193340 203560 204388 215192 255485 268990 357679 376586 386680 408776 510970 537980 715358 753172 941465 1003987 1021940 1075960 1430716 1506344 1788395 1882930 2007974 2043880 2861432 3576790 3765860 4015948 5019935 7027909 7153580 7531720 8031896 10039870 14055818 14307160 20079740 28111636 35139545 37147519 40159480 56223272 70279090 74295038 140558180 148590076 185737595 260032633 281116360 297180152 371475190 520065266 742950380 1040130532 1300163165 1485900760 2080261064 2600326330 5200652660 10401305320