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3123230323213 = 71121319149100193
BaseRepresentation
bin101101011100101111000…
…010001011001000001101
3102001120121021212022100001
4231130233002023020031
5402132333430320323
610350443041004301
7441434362502320
oct55345702131015
912046537768301
103123230323213
11aa4611105500
12425377623691
1319869a041c10
14ab24527c7b7
15563980d73ad
hex2d72f08b20d

3123230323213 has 96 divisors (see below), whose sum is σ = 4477469472000. Its totient is φ = 2113938984960.

The previous prime is 3123230323201. The next prime is 3123230323247.

3123230323213 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 3123230323213 - 221 = 3123228226061 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3123230323013) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 31122045 + ... + 31222237.

It is an arithmetic number, because the mean of its divisors is an integer number (46640307000).

Almost surely, 23123230323213 is an apocalyptic number.

It is an amenable number.

3123230323213 is a deficient number, since it is larger than the sum of its proper divisors (1354239148787).

3123230323213 is a wasteful number, since it uses less digits than its factorization.

3123230323213 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 100403 (or 100392 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 28.

It can be divided in two parts, 3123230 and 323213, that added together give a palindrome (3446443).

The spelling of 3123230323213 in words is "three trillion, one hundred twenty-three billion, two hundred thirty million, three hundred twenty-three thousand, two hundred thirteen".

Divisors: 1 7 11 13 19 77 91 121 133 143 149 209 247 847 1001 1043 1463 1573 1639 1729 1937 2299 2717 2831 11011 11473 13559 16093 18029 19019 19817 21307 29887 31141 36803 100193 126203 149149 209209 217987 234377 257621 342551 404833 701351 1102123 1302509 1640639 1903667 2397857 2833831 4453163 7714861 9117563 12123353 13325669 14327599 14928757 20940337 24747671 31172141 84863471 100293193 104501299 146582359 157603589 164216327 173233697 194073841 230343707 272224381 283646383 1103225123 1149514289 1358516887 1612405949 1806379597 1905570667 1985524681 2134812251 2994468191 3120110213 3687402979 12644657179 14943685757 20961277337 21840771491 23482934761 25811820853 34321212343 40561432769 164380543327 240248486401 283930029383 446175760459 3123230323213