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312023421110001 = 319401102116578069
BaseRepresentation
bin100011011110010001001110…
…1001011010100011011110001
31111220210010222200222100120010
41012330202131023110123301
5311344142431301010001
63023341325242005133
7122502643151605116
oct10674423513243361
91456703880870503
10312023421110001
1190469431867987
122abb42904a67a9
13105148b41a6873
14570a02ac0090d
1526116a2a228d6
hex11bc89d2d46f1

312023421110001 has 64 divisors (see below), whose sum is σ = 439769389651200. Its totient is φ = 196240610304000.

The previous prime is 312023421109919. The next prime is 312023421110003. The reversal of 312023421110001 is 100011124320213.

It is not a de Polignac number, because 312023421110001 - 215 = 312023421077233 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 312023421110001.

It is not an unprimeable number, because it can be changed into a prime (312023421110003) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 38669399995 + ... + 38669408063.

It is an arithmetic number, because the mean of its divisors is an integer number (6871396713300).

Almost surely, 2312023421110001 is an apocalyptic number.

It is an amenable number.

312023421110001 is a deficient number, since it is larger than the sum of its proper divisors (127745968541199).

312023421110001 is a wasteful number, since it uses less digits than its factorization.

312023421110001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11170.

The product of its (nonzero) digits is 288, while the sum is 21.

Adding to 312023421110001 its reverse (100011124320213), we get a palindrome (412034545430214).

The spelling of 312023421110001 in words is "three hundred twelve trillion, twenty-three billion, four hundred twenty-one million, one hundred ten thousand, one".

Divisors: 1 3 19 57 401 1021 1203 1657 3063 4971 7619 8069 19399 22857 24207 31483 58197 94449 153311 409421 459933 664457 1228263 1691797 1993371 3235669 5075391 7778999 8238449 9707007 12624683 13370333 23336997 24715347 32144143 37874049 40110999 61477711 96432429 156530531 184433133 254036327 469591593 678410597 762108981 2035231791 3303618049 5361503533 9910854147 12889801343 13651109993 16084510599 38669404029 40953329979 62768742931 101868567127 188306228793 259371089867 305605701381 778113269601 5474095107193 16422285321579 104007807036667 312023421110001