Search a number
-
+
100121201101196 = 221123802791232377
BaseRepresentation
bin10110110000111101001000…
…101000000100100110001100
3111010111111022122120101212122
4112300331020220010212030
5101110341204440214241
6552535013402552112
730042342461410352
oct2660751050044614
9433444278511778
10100121201101196
11299a118795a410
12b2901ab808638
1343b350911ba82
141aa1c6b8937d2
15b895aee2c04b
hex5b0f48a0498c

100121201101196 has 48 divisors (see below), whose sum is σ = 199453576573440. Its totient is φ = 43530379432320.

The previous prime is 100121201101193. The next prime is 100121201101199. The reversal of 100121201101196 is 691101102121001.

It is an interprime number because it is at equal distance from previous prime (100121201101193) and next prime (100121201101199).

It is a super-2 number, since 2×1001212011011962 (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (100121201101193) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 80626160 + ... + 81858536.

It is an arithmetic number, because the mean of its divisors is an integer number (4155282845280).

Almost surely, 2100121201101196 is an apocalyptic number.

It is an amenable number.

100121201101196 is a deficient number, since it is larger than the sum of its proper divisors (99332375472244).

100121201101196 is a wasteful number, since it uses less digits than its factorization.

100121201101196 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1312694 (or 1312692 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 26.

Adding to 100121201101196 its reverse (691101102121001), we get a palindrome (791222303222197).

The spelling of 100121201101196 in words is "one hundred trillion, one hundred twenty-one billion, two hundred one million, one hundred one thousand, one hundred ninety-six".

Divisors: 1 2 4 11 22 23 44 46 92 253 506 1012 80279 160558 321116 883069 1232377 1766138 1846417 2464754 3532276 3692834 4929508 7385668 13556147 20310587 27112294 28344671 40621174 54224588 56689342 81242348 113378684 311791381 623582762 1247165524 98933993183 197867986366 395735972732 1088273925013 2176547850026 2275481843209 4353095700052 4550963686418 9101927372836 25030300275299 50060600550598 100121201101196