Search a number
-
+
31000113120 = 2535411575209
BaseRepresentation
bin11100110111110000…
…000010111111100000
32222000110011220122210
4130313300002333200
51001442012104440
622124040002120
72145132420354
oct346760027740
988013156583
1031000113120
11121688348a9
126011a60340
132c00641902
1417011c5464
15c1682da80
hex737c02fe0

31000113120 has 96 divisors (see below), whose sum is σ = 100032135840. Its totient is φ = 8065064960.

The previous prime is 31000113103. The next prime is 31000113143. The reversal of 31000113120 is 2131100013.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×310001131202 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 31000113096 and 31000113105.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 767925 + ... + 807284.

It is an arithmetic number, because the mean of its divisors is an integer number (1042001415).

Almost surely, 231000113120 is an apocalyptic number.

31000113120 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

31000113120 is an abundant number, since it is smaller than the sum of its proper divisors (69032022720).

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

31000113120 is a wasteful number, since it uses less digits than its factorization.

31000113120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1575268 (or 1575260 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 12.

Adding to 31000113120 its reverse (2131100013), we get a palindrome (33131213133).

The spelling of 31000113120 in words is "thirty-one billion, one hundred thirteen thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 41 48 60 80 82 96 120 123 160 164 205 240 246 328 410 480 492 615 656 820 984 1230 1312 1640 1968 2460 3280 3936 4920 6560 9840 19680 1575209 3150418 4725627 6300836 7876045 9451254 12601672 15752090 18902508 23628135 25203344 31504180 37805016 47256270 50406688 63008360 64583569 75610032 94512540 126016720 129167138 151220064 189025080 193750707 252033440 258334276 322917845 378050160 387501414 516668552 645835690 756100320 775002828 968753535 1033337104 1291671380 1550005656 1937507070 2066674208 2583342760 3100011312 3875014140 5166685520 6200022624 7750028280 10333371040 15500056560 31000113120