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23001333101340 = 223511311124209829
BaseRepresentation
bin1010011101011011010100…
…10010011111001100011100
310000102220110110012100100120
411032231222102133030130
511003323212233220330
6120530355550354540
74562535322322556
oct516555222371434
9100386413170316
1023001333101340
1173688a098a560
1226b598babba50
13cab02a06b3a9
145973b02104d6
1529d4b6657c10
hex14eb6a49f31c

23001333101340 has 96 divisors (see below), whose sum is σ = 72525024552960. Its totient is φ = 5396207174400.

The previous prime is 23001333101287. The next prime is 23001333101359. The reversal of 23001333101340 is 4310133310032.

It is a happy number.

It is a super-2 number, since 2×230013331013402 (a number of 28 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 23001333101340.

It is a congruent number.

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, 562084455 + ... + 562125374.

It is an arithmetic number, because the mean of its divisors is an integer number (755469005760).

Almost surely, 223001333101340 is an apocalyptic number.

23001333101340 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

23001333101340 is an abundant number, since it is smaller than the sum of its proper divisors (49523691451620).

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

23001333101340 is a wasteful number, since it uses less digits than its factorization.

23001333101340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1124209883 (or 1124209881 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 24.

Adding to 23001333101340 its reverse (4310133310032), we get a palindrome (27311466411372).

The spelling of 23001333101340 in words is "twenty-three trillion, one billion, three hundred thirty-three million, one hundred one thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 30 31 33 44 55 60 62 66 93 110 124 132 155 165 186 220 310 330 341 372 465 620 660 682 930 1023 1364 1705 1860 2046 3410 4092 5115 6820 10230 20460 1124209829 2248419658 3372629487 4496839316 5621049145 6745258974 11242098290 12366308119 13490517948 16863147435 22484196580 24732616238 33726294870 34850504699 37098924357 49465232476 61831540595 67452589740 69701009398 74197848714 104551514097 123663081190 139402018796 148395697428 174252523495 185494621785 209103028194 247326162380 348505046990 370989243570 383355551689 418206056388 522757570485 697010093980 741978487140 766711103378 1045515140970 1150066655067 1533422206756 1916777758445 2091030281940 2300133310134 3833555516890 4600266620268 5750333275335 7667111033780 11500666550670 23001333101340