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21123100312000 = 265310132606503
BaseRepresentation
bin1001100110110000110101…
…11001000000000111000000
32202210100102011211201011121
410303120122321000013000
510232040102134441000
6112531452431322024
74310044055120551
oct463303271000700
982710364751147
1021123100312000
1168042904a2375
12245196b680314
13ba2b90b7097b
14530513686328
152696d885db1a
hex13361ae401c0

21123100312000 has 112 divisors (see below), whose sum is σ = 52363018049472. Its totient is φ = 8440896076800.

The previous prime is 21123100311983. The next prime is 21123100312001. The reversal of 21123100312000 is 21300132112.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21123100312001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6800749 + ... + 9407251.

Almost surely, 221123100312000 is an apocalyptic number.

21123100312000 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 21123100312000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26181509024736).

21123100312000 is an abundant number, since it is smaller than the sum of its proper divisors (31239917737472).

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

21123100312000 is a wasteful number, since it uses less digits than its factorization.

21123100312000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2607543 (or 2607523 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 16.

Adding to 21123100312000 its reverse (21300132112), we get a palindrome (21144400444112).

The spelling of 21123100312000 in words is "twenty-one trillion, one hundred twenty-three billion, one hundred million, three hundred twelve thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 125 160 200 250 320 400 500 800 1000 1013 1600 2000 2026 4000 4052 5065 8000 8104 10130 16208 20260 25325 32416 40520 50650 64832 81040 101300 126625 162080 202600 253250 324160 405200 506500 810400 1013000 1620800 2026000 2606503 4052000 5213006 8104000 10426012 13032515 20852024 26065030 41704048 52130060 65162575 83408096 104260120 130325150 166816192 208520240 260650300 325812875 417040480 521300600 651625750 834080960 1042601200 1303251500 2085202400 2606503000 2640387539 4170404800 5213006000 5280775078 10426012000 10561550156 13201937695 20852024000 21123100312 26403875390 42246200624 52807750780 66009688475 84492401248 105615501560 132019376950 168984802496 211231003120 264038753900 330048442375 422462006240 528077507800 660096884750 844924012480 1056155015600 1320193769500 2112310031200 2640387539000 4224620062400 5280775078000 10561550156000 21123100312000