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12101002220320 = 2551313742465617
BaseRepresentation
bin1011000000010111101111…
…1100000101001100100000
31120211211210122120111212021
42300011323330011030200
53041230323032022240
641423042414111224
72356161054510106
oct260057374051440
946754718514767
1012101002220320
11394600830a962
1214353091ab514
1369a172a35cb0
142db997ba7c76
1515eb9512954a
hexb017bf05320

12101002220320 has 96 divisors (see below), whose sum is σ = 31012470962928. Its totient is φ = 4435448659968.

The previous prime is 12101002220311. The next prime is 12101002220393. The reversal of 12101002220320 is 2302220010121.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 753347617936 + 11347654602384 = 867956^2 + 3368628^2 .

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

It is a junction number, because it is equal to n+sod(n) for n = 12101002220294 and 12101002220303.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 20947849 + ... + 21517768.

Almost surely, 212101002220320 is an apocalyptic number.

12101002220320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12101002220320 is an abundant number, since it is smaller than the sum of its proper divisors (18911468742608).

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

12101002220320 is a wasteful number, since it uses less digits than its factorization.

12101002220320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42465782 (or 42465774 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

Adding to 12101002220320 its reverse (2302220010121), we get a palindrome (14403222230441).

The spelling of 12101002220320 in words is "twelve trillion, one hundred one billion, two million, two hundred twenty thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 13 16 20 26 32 40 52 65 80 104 130 137 160 208 260 274 416 520 548 685 1040 1096 1370 1781 2080 2192 2740 3562 4384 5480 7124 8905 10960 14248 17810 21920 28496 35620 56992 71240 142480 284960 42465617 84931234 169862468 212328085 339724936 424656170 552053021 679449872 849312340 1104106042 1358899744 1698624680 2208212084 2760265105 3397249360 4416424168 5520530210 5817789529 6794498720 8832848336 11041060420 11635579058 17665696672 22082120840 23271158116 29088947645 44164241680 46542316232 58177895290 75631263877 88328483360 93084632464 116355790580 151262527754 186169264928 232711581160 302525055508 378156319385 465423162320 605050111016 756312638770 930846324640 1210100222032 1512625277540 2420200444064 3025250555080 6050501110160 12101002220320