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10323031120 = 2452347791511
BaseRepresentation
bin10011001110100110…
…01111010001010000
3222122102121022111221
421213103033101100
5132120143443440
64424202214424
7513546213433
oct114723172120
928572538457
1010323031120
11441809a086
1220011b4414
13c868c024c
146dd00d81a
1540641ad4a
hex2674cf450

10323031120 has 160 divisors (see below), whose sum is σ = 25918341120. Its totient is φ = 3814187520.

The previous prime is 10323031049. The next prime is 10323031123. The reversal of 10323031120 is 2113032301.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 10323031094 and 10323031103.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10323031123) 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, 6831165 + ... + 6832675.

It is an arithmetic number, because the mean of its divisors is an integer number (161989632).

Almost surely, 210323031120 is an apocalyptic number.

10323031120 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 10323031120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12959170560).

10323031120 is an abundant number, since it is smaller than the sum of its proper divisors (15595310000).

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

10323031120 is a wasteful number, since it uses less digits than its factorization.

10323031120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1673 (or 1667 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 16.

Adding to 10323031120 its reverse (2113032301), we get a palindrome (12436063421).

The spelling of 10323031120 in words is "ten billion, three hundred twenty-three million, thirty-one thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 23 40 46 47 79 80 92 94 115 158 184 188 230 235 316 368 376 395 460 470 632 752 790 920 940 1081 1264 1511 1580 1817 1840 1880 2162 3022 3160 3634 3713 3760 4324 5405 6044 6320 7268 7426 7555 8648 9085 10810 12088 14536 14852 15110 17296 18170 18565 21620 24176 29072 29704 30220 34753 36340 37130 43240 59408 60440 69506 71017 72680 74260 85399 86480 119369 120880 139012 142034 145360 148520 170798 173765 238738 278024 284068 297040 341596 347530 355085 426995 477476 556048 568136 596845 683192 695060 710170 853990 954952 1136272 1193690 1366384 1390120 1420340 1633391 1707980 1909904 2387380 2745487 2780240 2840680 3266782 3415960 4774760 5490974 5610343 5681360 6533564 6831920 8166955 9549520 10981948 11220686 13067128 13727435 16333910 21963896 22441372 26134256 27454870 28051715 32667820 43927792 44882744 54909740 56103430 65335640 89765488 109819480 112206860 129037889 130671280 219638960 224413720 258075778 448827440 516151556 645189445 1032303112 1290378890 2064606224 2580757780 5161515560 10323031120