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31100022330 = 23513412717177
BaseRepresentation
bin11100111101101101…
…001010111000111010
32222021102011211022220
4130331231022320322
51002143101203310
622142005224510
72150454554016
oct347555127072
988242154286
1031100022330
111220a1740a3
12603b402136
132c18252ca0
141710591546
15c204b6670
hex73db4ae3a

31100022330 has 128 divisors (see below), whose sum is σ = 82657483776. Its totient is φ = 7440076800.

The previous prime is 31100022307. The next prime is 31100022361. The reversal of 31100022330 is 3322000113.

It is a super-3 number, since 3×311000223303 (a number of 32 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4329702 + ... + 4336878.

It is an arithmetic number, because the mean of its divisors is an integer number (645761592).

Almost surely, 231100022330 is an apocalyptic number.

31100022330 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 31100022330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41328741888).

31100022330 is an abundant number, since it is smaller than the sum of its proper divisors (51557461446).

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

31100022330 is a wasteful number, since it uses less digits than its factorization.

31100022330 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7512.

The product of its (nonzero) digits is 108, while the sum is 15.

Adding to 31100022330 its reverse (3322000113), we get a palindrome (34422022443).

The spelling of 31100022330 in words is "thirty-one billion, one hundred million, twenty-two thousand, three hundred thirty".

Divisors: 1 2 3 5 6 10 13 15 26 30 39 41 65 78 82 123 130 195 205 246 271 390 410 533 542 615 813 1066 1230 1355 1599 1626 2665 2710 3198 3523 4065 5330 7046 7177 7995 8130 10569 11111 14354 15990 17615 21138 21531 22222 33333 35230 35885 43062 52845 55555 66666 71770 93301 105690 107655 111110 144443 166665 186602 215310 279903 288886 294257 333330 433329 466505 559806 588514 722215 866658 882771 933010 1399515 1444430 1471285 1765542 1944967 2166645 2799030 2942570 3825341 3889934 4333290 4413855 5834901 7650682 8827710 9724835 11476023 11669802 19126705 19449670 22952046 25284571 29174505 38253410 50569142 57380115 58349010 75853713 79743647 114760230 126422855 151707426 159487294 239230941 252845710 379268565 398718235 478461882 758537130 797436470 1036667411 1196154705 2073334822 2392309410 3110002233 5183337055 6220004466 10366674110 15550011165 31100022330