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1010110320320 = 26571151294431
BaseRepresentation
bin11101011001011110100…
…01000100111011000000
310120120021022202220122012
432230233101010323000
5113022201220222240
62052012133432052
7132656322025403
oct16545721047300
93516238686565
101010110320320
1135a426a40222
12143923a9b628
1374339aa10ba
1436c650c5d3a
151b41e166b65
hexeb2f444ec0

1010110320320 has 112 divisors (see below), whose sum is σ = 2455365021696. Its totient is φ = 395713920000.

The previous prime is 1010110320313. The next prime is 1010110320341. The reversal of 1010110320320 is 230230110101.

It is a junction number, because it is equal to n+sod(n) for n = 1010110320295 and 1010110320304.

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, 3283505 + ... + 3577935.

Almost surely, 21010110320320 is an apocalyptic number.

1010110320320 is a gapful number since it is divisible by the number (10) 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 1010110320320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1227682510848).

1010110320320 is an abundant number, since it is smaller than the sum of its proper divisors (1445254701376).

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

1010110320320 is a wasteful number, since it uses less digits than its factorization.

1010110320320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 294670 (or 294660 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 14.

Adding to 1010110320320 its reverse (230230110101), we get a palindrome (1240340430421).

The spelling of 1010110320320 in words is "one trillion, ten billion, one hundred ten million, three hundred twenty thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 71 80 142 151 160 284 302 320 355 568 604 710 755 1136 1208 1420 1510 2272 2416 2840 3020 4544 4832 5680 6040 9664 10721 11360 12080 21442 22720 24160 42884 48320 53605 85768 107210 171536 214420 294431 343072 428840 588862 686144 857680 1177724 1472155 1715360 2355448 2944310 3430720 4710896 5888620 9421792 11777240 18843584 20904601 23554480 41809202 44459081 47108960 83618404 88918162 94217920 104523005 167236808 177836324 209046010 222295405 334473616 355672648 418092020 444590810 668947232 711345296 836184040 889181620 1337894464 1422690592 1672368080 1778363240 2845381184 3156594751 3344736160 3556726480 6313189502 6689472320 7113452960 12626379004 14226905920 15782973755 25252758008 31565947510 50505516016 63131895020 101011032032 126263790040 202022064064 252527580080 505055160160 1010110320320