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23044044002100 = 223521136371920001
BaseRepresentation
bin1010011110101010111000…
…00011101001001100110100
310000120222201001021220120220
411033111130003221030310
511010023200231031400
6121002142045254340
74565606615100252
oct517253403511464
9100528631256526
1023044044002100
117384a1909a450
12270210b8643b0
13cb2075952c34
145994a284b5d2
1529e6661297a0
hex14f55c0e9334

23044044002100 has 144 divisors (see below), whose sum is σ = 72755419146816. Its totient is φ = 5584896000000.

The previous prime is 23044044002081. The next prime is 23044044002141. The reversal of 23044044002100 is 120044044032.

It is a happy number.

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, 11042100 + ... + 12962100.

Almost surely, 223044044002100 is an apocalyptic number.

23044044002100 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 23044044002100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36377709573408).

23044044002100 is an abundant number, since it is smaller than the sum of its proper divisors (49711375144716).

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

23044044002100 is a wasteful number, since it uses less digits than its factorization.

23044044002100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1923666 (or 1923659 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 24.

Adding to 23044044002100 its reverse (120044044032), we get a palindrome (23164088046132).

It can be divided in two parts, 2304 and 4044002100, that added together give a palindrome (4044004404).

The spelling of 23044044002100 in words is "twenty-three trillion, forty-four billion, forty-four million, two thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 25 30 33 44 50 55 60 66 75 100 110 132 150 165 220 275 300 330 550 660 825 1100 1650 3300 3637 7274 10911 14548 18185 21822 36370 40007 43644 54555 72740 80014 90925 109110 120021 160028 181850 200035 218220 240042 272775 363700 400070 480084 545550 600105 800140 1000175 1091100 1200210 1920001 2000350 2400420 3000525 3840002 4000700 5760003 6001050 7680004 9600005 11520006 12002100 19200010 21120011 23040012 28800015 38400020 42240022 48000025 57600030 63360033 84480044 96000050 105600055 115200060 126720066 144000075 192000100 211200110 253440132 288000150 316800165 422400220 528000275 576000300 633600330 1056000550 1267200660 1584000825 2112001100 3168001650 6336003300 6983043637 13966087274 20949130911 27932174548 34915218185 41898261822 69830436370 76813480007 83796523644 104745654555 139660872740 153626960014 174576090925 209491309110 230440440021 307253920028 349152181850 384067400035 418982618220 460880880042 523728272775 698304363700 768134800070 921761760084 1047456545550 1152202200105 1536269600140 1920337000175 2094913091100 2304404400210 3840674000350 4608808800420 5761011000525 7681348000700 11522022001050 23044044002100