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10333121220 = 223251723146819
BaseRepresentation
bin10011001111110011…
…01110101011000100
3222200010120221112100
421213321232223010
5132130234334340
64425202352100
7514031036562
oct114771565304
928603527470
1010333121220
114422860a04
12200465b630
13c88a13b16
147004b8a32
15407260830
hex267e6eac4

10333121220 has 144 divisors (see below), whose sum is σ = 34630727040. Its totient is φ = 2480636928.

The previous prime is 10333121219. The next prime is 10333121233. The reversal of 10333121220 is 2212133301.

10333121220 is a `hidden beast` number, since 103 + 331 + 212 + 20 = 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 = 10333121193 and 10333121202.

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 47 ways as a sum of consecutive naturals, for example, 3030 + ... + 143789.

It is an arithmetic number, because the mean of its divisors is an integer number (240491160).

Almost surely, 210333121220 is an apocalyptic number.

10333121220 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 10333121220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17315363520).

10333121220 is an abundant number, since it is smaller than the sum of its proper divisors (24297605820).

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

10333121220 is a wasteful number, since it uses less digits than its factorization.

10333121220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 146874 (or 146869 counting only the distinct ones).

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

Adding to 10333121220 its reverse (2212133301), we get a palindrome (12545254521).

The spelling of 10333121220 in words is "ten billion, three hundred thirty-three million, one hundred twenty-one thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 17 18 20 23 30 34 36 45 46 51 60 68 69 85 90 92 102 115 138 153 170 180 204 207 230 255 276 306 340 345 391 414 460 510 612 690 765 782 828 1020 1035 1173 1380 1530 1564 1955 2070 2346 3060 3519 3910 4140 4692 5865 7038 7820 11730 14076 17595 23460 35190 70380 146819 293638 440457 587276 734095 880914 1321371 1468190 1761828 2202285 2495923 2642742 2936380 3376837 4404570 4991846 5285484 6606855 6753674 7487769 8809140 9983692 10130511 12479615 13213710 13507348 14975538 16884185 20261022 22463307 24959230 26427420 29951076 30391533 33768370 37438845 40522044 44926614 49918460 50652555 57406229 60783066 67536740 74877690 89853228 101305110 112316535 114812458 121566132 149755380 151957665 172218687 202610220 224633070 229624916 287031145 303915330 344437374 449266140 516656061 574062290 607830660 688874748 861093435 1033312122 1148124580 1722186870 2066624244 2583280305 3444373740 5166560610 10333121220