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101134469376 = 28351625747
BaseRepresentation
bin101111000110000010…
…1011000100100000000
3100200001020100100200000
41132030011120210000
53124110411010001
6114243250400000
710210130543253
oct1361405304400
9320036310600
10101134469376
11399888537a6
1217725890000
1396c986b7b5
144c759b309a
15296db2da86
hex178c158900

101134469376 has 108 divisors (see below), whose sum is σ = 302395630992. Its totient is φ = 33711469056.

The previous prime is 101134469363. The next prime is 101134469393. The reversal of 101134469376 is 673964431101.

101134469376 is a `hidden beast` number, since 1 + 0 + 113 + 4 + 469 + 3 + 76 = 666.

It is a tau number, because it is divible by the number of its divisors (108).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 750666 + ... + 875081.

Almost surely, 2101134469376 is an apocalyptic number.

101134469376 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

101134469376 is an abundant number, since it is smaller than the sum of its proper divisors (201261161616).

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

101134469376 is an frugal number, since it uses more digits than its factorization.

101134469376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1625778 (or 1625752 counting only the distinct ones).

The product of its (nonzero) digits is 326592, while the sum is 45.

The spelling of 101134469376 in words is "one hundred one billion, one hundred thirty-four million, four hundred sixty-nine thousand, three hundred seventy-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 128 144 162 192 216 243 256 288 324 384 432 486 576 648 768 864 972 1152 1296 1728 1944 2304 2592 3456 3888 5184 6912 7776 10368 15552 20736 31104 62208 1625747 3251494 4877241 6502988 9754482 13005976 14631723 19508964 26011952 29263446 39017928 43895169 52023904 58526892 78035856 87790338 104047808 117053784 131685507 156071712 175580676 208095616 234107568 263371014 312143424 351161352 395056521 416191232 468215136 526742028 624286848 702322704 790113042 936430272 1053484056 1248573696 1404645408 1580226084 1872860544 2106968112 2809290816 3160452168 3745721088 4213936224 5618581632 6320904336 8427872448 11237163264 12641808672 16855744896 25283617344 33711489792 50567234688 101134469376