Search a number
-
+
103134022432 = 25721131633571
BaseRepresentation
bin110000000001101000…
…1000100101100100000
3100212012120212011210121
41200003101010230200
53142204302204212
6115213520010024
710310520504100
oct1400321045440
9325176764717
10103134022432
113a814515591
1217ba3460914
139957bba59c
144dc5393200
152a39453d07
hex1803444b20

103134022432 has 144 divisors (see below), whose sum is σ = 239814564192. Its totient is φ = 43528181760.

The previous prime is 103134022427. The next prime is 103134022447. The reversal of 103134022432 is 234220431301.

It is a junction number, because it is equal to n+sod(n) for n = 103134022397 and 103134022406.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 28879207 + ... + 28882777.

It is an arithmetic number, because the mean of its divisors is an integer number (1665378918).

Almost surely, 2103134022432 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 103134022432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119907282096).

103134022432 is an abundant number, since it is smaller than the sum of its proper divisors (136680541760).

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

103134022432 is a wasteful number, since it uses less digits than its factorization.

103134022432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3871 (or 3856 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 25.

Adding to 103134022432 its reverse (234220431301), we get a palindrome (337354453733).

The spelling of 103134022432 in words is "one hundred three billion, one hundred thirty-four million, twenty-two thousand, four hundred thirty-two".

Divisors: 1 2 4 7 8 14 16 28 32 49 56 98 112 113 163 196 224 226 326 392 452 652 784 791 904 1141 1304 1568 1582 1808 2282 2608 3164 3571 3616 4564 5216 5537 6328 7142 7987 9128 11074 12656 14284 15974 18256 18419 22148 24997 25312 28568 31948 36512 36838 44296 49994 57136 63896 73676 88592 99988 114272 127792 128933 147352 174979 177184 199976 255584 257866 294704 349958 399952 403523 515732 582073 589408 699916 799904 807046 902531 1031464 1164146 1399832 1614092 1805062 2062928 2328292 2799664 2824661 3228184 3610124 4074511 4125856 4656584 5599328 5649322 6456368 7220248 8149022 9313168 11298644 12912736 14440496 16298044 18626336 19772627 22597288 28521577 28880992 32596088 39545254 45194576 57043154 65192176 65774249 79090508 90389152 114086308 130384352 131548498 158181016 228172616 263096996 316362032 456345232 460419743 526193992 632724064 912690464 920839486 1052387984 1841678972 2104775968 3222938201 3683357944 6445876402 7366715888 12891752804 14733431776 25783505608 51567011216 103134022432