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10233133320 = 23352310734651
BaseRepresentation
bin10011000011111000…
…10011100100001000
3222102011110000220210
421201330103210020
5131424140231240
64411231321120
7511405124634
oct114174234410
928364400823
1010233133320
114381378583
121b970801a0
13c710a5997
146d10cbdc4
153ed5ae780
hex261f13908

10233133320 has 128 divisors (see below), whose sum is σ = 32334474240. Its totient is φ = 2585721600.

The previous prime is 10233133231. The next prime is 10233133363. The reversal of 10233133320 is 2333133201.

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, 277995 + ... + 312645.

It is an arithmetic number, because the mean of its divisors is an integer number (252613080).

Almost surely, 210233133320 is an apocalyptic number.

10233133320 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 10233133320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16167237120).

10233133320 is an abundant number, since it is smaller than the sum of its proper divisors (22101340920).

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

10233133320 is a wasteful number, since it uses less digits than its factorization.

10233133320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34795 (or 34791 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 21.

Adding to 10233133320 its reverse (2333133201), we get a palindrome (12566266521).

The spelling of 10233133320 in words is "ten billion, two hundred thirty-three million, one hundred thirty-three thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 23 24 30 40 46 60 69 92 107 115 120 138 184 214 230 276 321 345 428 460 535 552 642 690 856 920 1070 1284 1380 1605 2140 2461 2568 2760 3210 4280 4922 6420 7383 9844 12305 12840 14766 19688 24610 29532 34651 36915 49220 59064 69302 73830 98440 103953 138604 147660 173255 207906 277208 295320 346510 415812 519765 693020 796973 831624 1039530 1386040 1593946 2079060 2390919 3187892 3707657 3984865 4158120 4781838 6375784 7415314 7969730 9563676 11122971 11954595 14830628 15939460 18538285 19127352 22245942 23909190 29661256 31878920 37076570 44491884 47818380 55614855 74153140 85276111 88983768 95636760 111229710 148306280 170552222 222459420 255828333 341104444 426380555 444918840 511656666 682208888 852761110 1023313332 1279141665 1705522220 2046626664 2558283330 3411044440 5116566660 10233133320