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31323101100 = 223523710925889
BaseRepresentation
bin11101001011000000…
…001001011110101100
32222211221221101212120
4131023000021132230
51003122203213400
622220054432540
72156133652314
oct351300113654
988757841776
1031323101100
111231408a515
1260a2062750
132c5252ab65
141732060444
15c34d7dca0
hex74b0097ac

31323101100 has 144 divisors (see below), whose sum is σ = 93935133600. Its totient is φ = 8052203520.

The previous prime is 31323101093. The next prime is 31323101107. The reversal of 31323101100 is 110132313.

It is an interprime number because it is at equal distance from previous prime (31323101093) and next prime (31323101107).

It is a super-2 number, since 2×313231011002 (a number of 22 digits) contains 22 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 31323101100.

It is not an unprimeable number, because it can be changed into a prime (31323101107) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1196956 + ... + 1222844.

Almost surely, 231323101100 is an apocalyptic number.

31323101100 is a gapful number since it is divisible by the number (30) 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 31323101100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46967566800).

31323101100 is an abundant number, since it is smaller than the sum of its proper divisors (62612032500).

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

31323101100 is a wasteful number, since it uses less digits than its factorization.

31323101100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26052 (or 26045 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 15.

Adding to 31323101100 its reverse (110132313), we get a palindrome (31433233413).

The spelling of 31323101100 in words is "thirty-one billion, three hundred twenty-three million, one hundred one thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 37 50 60 74 75 100 109 111 148 150 185 218 222 300 327 370 436 444 545 555 654 740 925 1090 1110 1308 1635 1850 2180 2220 2725 2775 3270 3700 4033 5450 5550 6540 8066 8175 10900 11100 12099 16132 16350 20165 24198 25889 32700 40330 48396 51778 60495 77667 80660 100825 103556 120990 129445 155334 201650 241980 258890 302475 310668 388335 403300 517780 604950 647225 776670 957893 1209900 1294450 1553340 1915786 1941675 2588900 2821901 2873679 3831572 3883350 4789465 5643802 5747358 7766700 8465703 9578930 11287604 11494716 14109505 14368395 16931406 19157860 23947325 28219010 28736790 33862812 42328515 47894650 56438020 57473580 70547525 71841975 84657030 95789300 104410337 141095050 143683950 169314060 208820674 211642575 282190100 287367900 313231011 417641348 423285150 522051685 626462022 846570300 1044103370 1252924044 1566155055 2088206740 2610258425 3132310110 5220516850 6264620220 7830775275 10441033700 15661550550 31323101100