Search a number
-
+
101214423040 = 211583119087
BaseRepresentation
bin101111001000011011…
…0011000100000000000
3100200020210210102110211
41132100312120200000
53124241343014130
6114255224203504
710212121254313
oct1362066304000
9320223712424
10101214423040
1139a199a3105
1217748609594
1397102b3a63
144c8246697a
152975b73a2a
hex1790d98800

101214423040 has 96 divisors (see below), whose sum is σ = 245783341440. Its totient is φ = 39997652992.

The previous prime is 101214423017. The next prime is 101214423041. The reversal of 101214423040 is 40324412101.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (101214423041) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 790377 + ... + 909463.

It is an arithmetic number, because the mean of its divisors is an integer number (2560243140).

Almost surely, 2101214423040 is an apocalyptic number.

101214423040 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 101214423040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122891670720).

101214423040 is an abundant number, since it is smaller than the sum of its proper divisors (144568918400).

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

101214423040 is an equidigital number, since it uses as much as digits as its factorization.

101214423040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 119197 (or 119177 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 22.

Adding to 101214423040 its reverse (40324412101), we get a palindrome (141538835141).

The spelling of 101214423040 in words is "one hundred one billion, two hundred fourteen million, four hundred twenty-three thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 83 128 160 166 256 320 332 415 512 640 664 830 1024 1280 1328 1660 2048 2560 2656 3320 5120 5312 6640 10240 10624 13280 21248 26560 42496 53120 84992 106240 119087 169984 212480 238174 424960 476348 595435 849920 952696 1190870 1905392 2381740 3810784 4763480 7621568 9526960 9884221 15243136 19053920 19768442 30486272 38107840 39536884 49421105 60972544 76215680 79073768 98842210 121945088 152431360 158147536 197684420 243890176 304862720 316295072 395368840 609725440 632590144 790737680 1219450880 1265180288 1581475360 2530360576 3162950720 5060721152 6325901440 10121442304 12651802880 20242884608 25303605760 50607211520 101214423040