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10110001000 = 2353117431237
BaseRepresentation
bin10010110101001101…
…00101111101101000
3222002120202021010111
421122212211331220
5131201130013000
64351112224104
7505351406401
oct113246457550
928076667114
1010110001000
114318917430
121b6199b034
13c51723118
146bc9d89a8
153e288acba
hex25a9a5f68

10110001000 has 128 divisors (see below), whose sum is σ = 25863701760. Its totient is φ = 3668448000.

The previous prime is 10110000983. The next prime is 10110001019. The reversal of 10110001000 is 10001101.

It is a Harshad number since it is a multiple of its sum of digits (4).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8172382 + ... + 8173618.

It is an arithmetic number, because the mean of its divisors is an integer number (202060170).

Almost surely, 210110001000 is an apocalyptic number.

10110001000 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 10110001000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12931850880).

10110001000 is an abundant number, since it is smaller than the sum of its proper divisors (15753700760).

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

10110001000 is a wasteful number, since it uses less digits than its factorization.

10110001000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2012 (or 1998 counting only the distinct ones).

The product of its (nonzero) digits is 1, while the sum is 4.

Adding to 10110001000 its reverse (10001101), we get a palindrome (10120002101).

The spelling of 10110001000 in words is "ten billion, one hundred ten million, one thousand".

Divisors: 1 2 4 5 8 10 11 20 22 25 40 44 50 55 88 100 110 125 200 220 250 275 440 500 550 743 1000 1100 1237 1375 1486 2200 2474 2750 2972 3715 4948 5500 5944 6185 7430 8173 9896 11000 12370 13607 14860 16346 18575 24740 27214 29720 30925 32692 37150 40865 49480 54428 61850 65384 68035 74300 81730 92875 108856 123700 136070 148600 154625 163460 185750 204325 247400 272140 309250 326920 340175 371500 408650 544280 618500 680350 743000 817300 919091 1021625 1237000 1360700 1634600 1700875 1838182 2043250 2721400 3401750 3676364 4086500 4595455 6803500 7352728 8173000 9190910 10110001 13607000 18381820 20220002 22977275 36763640 40440004 45954550 50550005 80880008 91909100 101100010 114886375 183818200 202200020 229772750 252750025 404400040 459545500 505500050 919091000 1011000100 1263750125 2022000200 2527500250 5055000500 10110001000