Search a number
-
+
23311103030300 = 22526710135279767
BaseRepresentation
bin1010100110011100010100…
…00000111111010000011100
310001112112000211222012002102
411103032022000333100130
511023412114333432200
6121324550051144232
74624112602300151
oct523161200772034
9101475024865072
1023311103030300
117478201a3a008
122745a212a5078
1310012c6001a47
145a8398b06228
152a65968ca6d5
hex15338a03f41c

23311103030300 has 144 divisors (see below), whose sum is σ = 51868423208448. Its totient is φ = 9090817824000.

The previous prime is 23311103030251. The next prime is 23311103030321. The reversal of 23311103030300 is 303030111332.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2386716017 + ... + 2386725783.

It is an arithmetic number, because the mean of its divisors is an integer number (360197383392).

Almost surely, 223311103030300 is an apocalyptic number.

23311103030300 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 23311103030300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25934211604224).

23311103030300 is an abundant number, since it is smaller than the sum of its proper divisors (28557320178148).

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

23311103030300 is a wasteful number, since it uses less digits than its factorization.

23311103030300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13476 (or 13469 counting only the distinct ones).

The product of its (nonzero) digits is 486, while the sum is 20.

Adding to 23311103030300 its reverse (303030111332), we get a palindrome (23614133141632).

The spelling of 23311103030300 in words is "twenty-three trillion, three hundred eleven billion, one hundred three million, thirty thousand, three hundred".

Divisors: 1 2 4 5 10 20 25 50 67 100 101 134 202 268 335 404 505 670 1010 1340 1675 2020 2525 3350 3527 5050 6700 6767 7054 9767 10100 13534 14108 17635 19534 27068 33835 35270 39068 48835 67670 70540 88175 97670 135340 169175 176350 195340 236309 244175 338350 352700 356227 472618 488350 654389 676700 712454 945236 976700 986467 1181545 1308778 1424908 1781135 1972934 2363090 2617556 3271945 3562270 3945868 4726180 4932335 5907725 6543890 7124540 8905675 9864670 11815450 13087780 16359725 17811350 19729340 23630900 23867209 24661675 32719450 34448209 35622700 47734418 49323350 65438900 66093289 68896418 95468836 98646700 119336045 132186578 137792836 172241045 238672090 264373156 330466445 344482090 477344180 596680225 660932890 688964180 861205225 1193360450 1321865780 1652332225 1722410450 2308030003 2386720900 3304664450 3444820900 3479269109 4616060006 6609328900 6958538218 9232120012 11540150015 13917076436 17396345545 23080300030 34792691090 46160600060 57700750075 69585382180 86981727725 115401500150 173963455450 230803000300 233111030303 347926910900 466222060606 932444121212 1165555151515 2331110303030 4662220606060 5827775757575 11655551515150 23311103030300