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10121123320 = 23571123142873
BaseRepresentation
bin10010110110100010…
…00001010111111000
3222010100200100002021
421123101001113320
5131212001421240
64352150444224
7505545062110
oct113321012770
928110610067
1010121123320
114324123830
121b65663674
13c53b18789
146c0292040
153e383654a
hex25b4415f8

10121123320 has 128 divisors (see below), whose sum is σ = 29626352640. Its totient is φ = 3017456640.

The previous prime is 10121123267. The next prime is 10121123321. The reversal of 10121123320 is 2332112101.

It is a junction number, because it is equal to n+sod(n) for n = 10121123294 and 10121123303.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10121123321) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 597 + ... + 142276.

It is an arithmetic number, because the mean of its divisors is an integer number (231455880).

Almost surely, 210121123320 is an apocalyptic number.

10121123320 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 10121123320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14813176320).

10121123320 is an abundant number, since it is smaller than the sum of its proper divisors (19505229320).

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

10121123320 is a wasteful number, since it uses less digits than its factorization.

10121123320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 142925 (or 142921 counting only the distinct ones).

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

Adding to 10121123320 its reverse (2332112101), we get a palindrome (12453235421).

The spelling of 10121123320 in words is "ten billion, one hundred twenty-one million, one hundred twenty-three thousand, three hundred twenty".

Divisors: 1 2 4 5 7 8 10 11 14 20 22 23 28 35 40 44 46 55 56 70 77 88 92 110 115 140 154 161 184 220 230 253 280 308 322 385 440 460 506 616 644 770 805 920 1012 1265 1288 1540 1610 1771 2024 2530 3080 3220 3542 5060 6440 7084 8855 10120 14168 17710 35420 70840 142873 285746 571492 714365 1000111 1142984 1428730 1571603 2000222 2857460 3143206 3286079 4000444 5000555 5714920 6286412 6572158 7858015 8000888 10001110 11001221 12572824 13144316 15716030 16430395 20002220 22002442 23002553 26288632 31432060 32860790 36146869 40004440 44004884 46005106 55006105 62864120 65721580 72293738 88009768 92010212 110012210 115012765 131443160 144587476 180734345 184020424 220024420 230025530 253028083 289174952 361468690 440048840 460051060 506056166 722937380 920102120 1012112332 1265140415 1445874760 2024224664 2530280830 5060561660 10121123320