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10331123220 = 22325116318269
BaseRepresentation
bin10011001111100100…
…00110111000010100
3222122222211102210100
421213302012320110
5132124231420340
64425051454100
7514005045525
oct114762067024
928588742710
1010331123220
114421716870
122003a57330
13c88494582
1470011884c
15406eb8830
hex267c86e14

10331123220 has 144 divisors (see below), whose sum is σ = 34244945280. Its totient is φ = 2500243200.

The previous prime is 10331123207. The next prime is 10331123287. The reversal of 10331123220 is 2232113301.

10331123220 is a `hidden beast` number, since 1 + 0 + 331 + 12 + 322 + 0 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 10331123193 and 10331123202.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1245246 + ... + 1253514.

It is an arithmetic number, because the mean of its divisors is an integer number (237812120).

Almost surely, 210331123220 is an apocalyptic number.

10331123220 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 10331123220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17122472640).

10331123220 is an abundant number, since it is smaller than the sum of its proper divisors (23913822060).

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

10331123220 is a wasteful number, since it uses less digits than its factorization.

10331123220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8926 (or 8921 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 10331123220 its reverse (2232113301), we get a palindrome (12563236521).

The spelling of 10331123220 in words is "ten billion, three hundred thirty-one million, one hundred twenty-three thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 11 12 15 18 20 22 30 33 36 44 45 55 60 66 90 99 110 132 165 180 198 220 330 396 495 631 660 990 1262 1893 1980 2524 3155 3786 5679 6310 6941 7572 8269 9465 11358 12620 13882 16538 18930 20823 22716 24807 27764 28395 33076 34705 37860 41345 41646 49614 56790 62469 69410 74421 82690 83292 90959 99228 104115 113580 124035 124938 138820 148842 165380 181918 208230 248070 249876 272877 297684 312345 363836 372105 416460 454795 496140 545754 624690 744210 818631 909590 1091508 1249380 1364385 1488420 1637262 1819180 2728770 3274524 4093155 5217739 5457540 8186310 10435478 15653217 16372620 20870956 26088695 31306434 46959651 52177390 57395129 62612868 78266085 93919302 104354780 114790258 156532170 172185387 187838604 229580516 234798255 286975645 313064340 344370774 469596510 516556161 573951290 688741548 860926935 939193020 1033112322 1147902580 1721853870 2066224644 2582780805 3443707740 5165561610 10331123220