Search a number
-
+
112033425420 = 223257130368239
BaseRepresentation
bin110100001010110110…
…1100110100000001100
3101201011210122200122200
41220111231212200030
53313421024103140
6123244545041500
711044202255310
oct1502555464014
9351153580580
10112033425420
1143570a47794
1219867926290
13a745878407
1455cb29db40
152daa8ae030
hex1a15b6680c

112033425420 has 144 divisors (see below), whose sum is σ = 388686305280. Its totient is φ = 25587612288.

The previous prime is 112033425401. The next prime is 112033425421. The reversal of 112033425420 is 24524330211.

112033425420 is a `hidden beast` number, since 1 + 1 + 203 + 34 + 2 + 5 + 420 = 666.

112033425420 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1120334254202 (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (112033425421) 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, 1607661 + ... + 1675899.

Almost surely, 2112033425420 is an apocalyptic number.

112033425420 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 112033425420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (194343152640).

112033425420 is an abundant number, since it is smaller than the sum of its proper divisors (276652879860).

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

112033425420 is a wasteful number, since it uses less digits than its factorization.

112033425420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 69564 (or 69559 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

Adding to 112033425420 its reverse (24524330211), we get a palindrome (136557755631).

The spelling of 112033425420 in words is "one hundred twelve billion, thirty-three million, four hundred twenty-five thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 7 9 10 12 14 15 18 20 21 28 30 35 36 42 45 60 63 70 84 90 105 126 140 180 210 252 315 420 630 1260 1303 2606 3909 5212 6515 7818 9121 11727 13030 15636 18242 19545 23454 26060 27363 36484 39090 45605 46908 54726 58635 68239 78180 82089 91210 109452 117270 136478 136815 164178 182420 204717 234540 272956 273630 328356 341195 409434 410445 477673 547260 614151 682390 818868 820890 955346 1023585 1228302 1364780 1433019 1641780 1910692 2047170 2388365 2456604 2866038 3070755 4094340 4299057 4776730 5732076 6141510 7165095 8598114 9553460 12283020 14330190 17196228 21495285 28660380 42990570 85981140 88915417 177830834 266746251 355661668 444577085 533492502 622407919 800238753 889154170 1066985004 1244815838 1333731255 1600477506 1778308340 1867223757 2489631676 2667462510 3112039595 3200955012 3734447514 4001193765 5334925020 5601671271 6224079190 7468895028 8002387530 9336118785 11203342542 12448158380 16004775060 18672237570 22406685084 28008356355 37344475140 56016712710 112033425420