Search a number
-
+
100121221220019 = 33128330712391343
BaseRepresentation
bin10110110000111101001001…
…110100110100011010110011
3111010111111101001102112201020
4112300331021310310122303
5101110341230113020034
6552535015402110523
730042343124412666
oct2660751164643263
9433444331375636
10100121221220019
11299a1198250a3a
12b2901b64ab443
1343b35103442bc
141aa1c7040d6dd
15b895b1aa3249
hex5b0f49d346b3

100121221220019 has 32 divisors (see below), whose sum is σ = 138738642223104. Its totient is φ = 64156421031840.

The previous prime is 100121221219969. The next prime is 100121221220159. The reversal of 100121221220019 is 910022122121001.

It is not a de Polignac number, because 100121221220019 - 227 = 100121087002291 is a prime.

It is a super-2 number, since 2×1001212212200192 (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (100121221220219) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1884262 + ... + 14275604.

It is an arithmetic number, because the mean of its divisors is an integer number (4335582569472).

Almost surely, 2100121221220019 is an apocalyptic number.

100121221220019 is a deficient number, since it is larger than the sum of its proper divisors (38617421003085).

100121221220019 is a wasteful number, since it uses less digits than its factorization.

100121221220019 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12391967.

The product of its (nonzero) digits is 288, while the sum is 24.

The spelling of 100121221220019 in words is "one hundred trillion, one hundred twenty-one billion, two hundred twenty-one million, two hundred twenty thousand, nineteen".

Divisors: 1 3 31 93 283 307 849 921 8773 9517 26319 28551 86881 260643 2693311 8079933 12391343 37174029 384131633 1152394899 3506750069 3804142301 10520250207 11412426903 108709252139 117928411331 326127756417 353785233993 1076572271183 3229716813549 33373740406673 100121221220019