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21031321100112 = 24321954831401949
BaseRepresentation
bin1001100100000101111000…
…11011000101111101010000
32202110120111221001200011200
410302002330123011331100
510224034121200200422
6112421353332311200
74300314512520411
oct462027433057520
982416457050150
1021031321100112
116779373526034
122438016a72500
13b973255596bb
14529cc8363808
152671161d32ac
hex1320bc6c5f50

21031321100112 has 120 divisors (see below), whose sum is σ = 61967648028000. Its totient is φ = 6640253800704.

The previous prime is 21031321100077. The next prime is 21031321100113. The reversal of 21031321100112 is 21100112313012.

21031321100112 is a `hidden beast` number, since 210 + 31 + 321 + 100 + 1 + 1 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21031321100113) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 14300514 + ... + 15702462.

It is an arithmetic number, because the mean of its divisors is an integer number (516397066900).

Almost surely, 221031321100112 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21031321100112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30983824014000).

21031321100112 is an abundant number, since it is smaller than the sum of its proper divisors (40936326927888).

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

21031321100112 is a wasteful number, since it uses less digits than its factorization.

21031321100112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1407465 (or 1407456 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

Adding to 21031321100112 its reverse (21100112313012), we get a palindrome (42131433413124).

The spelling of 21031321100112 in words is "twenty-one trillion, thirty-one billion, three hundred twenty-one million, one hundred thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 19 24 36 38 48 57 72 76 114 144 152 171 228 304 342 456 684 912 1368 2736 5483 10966 16449 21932 32898 43864 49347 65796 87728 98694 104177 131592 197388 208354 263184 312531 394776 416708 625062 789552 833416 937593 1250124 1401949 1666832 1875186 2500248 2803898 3750372 4205847 5000496 5607796 7500744 8411694 11215592 12617541 15001488 16823388 22431184 25235082 26637031 33646776 50470164 53274062 67293552 79911093 100940328 106548124 159822186 201880656 213096248 239733279 319644372 426192496 479466558 639288744 958933116 1278577488 1917866232 3835732464 7686886367 15373772734 23060659101 30747545468 46121318202 61495090936 69181977303 92242636404 122990181872 138363954606 146050840973 184485272808 276727909212 292101681946 368970545616 438152522919 553455818424 584203363892 876305045838 1106911636848 1168406727784 1314457568757 1752610091676 2336813455568 2628915137514 3505220183352 5257830275028 7010440366704 10515660550056 21031321100112