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22312012322003 = 1723734651168071
BaseRepresentation
bin1010001001010111010111…
…00100011001010011010011
32221000000012111112120022212
411010223223210121103103
510411030000123301003
6115241555202022335
74461663315346265
oct504535344312323
987000174476285
1022312012322003
117122520312468
1226042739479ab
13c5b024233c41
14571c9b357b35
1528a5bedc8dd8
hex144aeb9194d3

22312012322003 has 32 divisors (see below), whose sum is σ = 24994850337792. Its totient is φ = 19806982272000.

The previous prime is 22312012321993. The next prime is 22312012322023. The reversal of 22312012322003 is 30022321021322.

It is a cyclic number.

It is not a de Polignac number, because 22312012322003 - 28 = 22312012321747 is a prime.

It is a super-3 number, since 3×223120123220033 (a number of 41 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (23).

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 22312012322003.

It is not an unprimeable number, because it can be changed into a prime (22312012322023) 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, 132669458 + ... + 132837528.

It is an arithmetic number, because the mean of its divisors is an integer number (781089073056).

Almost surely, 222312012322003 is an apocalyptic number.

22312012322003 is a gapful number since it is divisible by the number (23) formed by its first and last digit.

22312012322003 is a deficient number, since it is larger than the sum of its proper divisors (2682838015789).

22312012322003 is a wasteful number, since it uses less digits than its factorization.

22312012322003 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 172835.

The product of its (nonzero) digits is 1728, while the sum is 23.

Adding to 22312012322003 its reverse (30022321021322), we get a palindrome (52334333343325).

The spelling of 22312012322003 in words is "twenty-two trillion, three hundred twelve billion, twelve million, three hundred twenty-two thousand, three".

Divisors: 1 17 23 73 391 1241 1679 4651 28543 79067 106973 168071 339523 1818541 2857207 3865633 5771891 7809029 12269183 65715761 132753493 208576111 282191209 781698221 4797250553 13288869757 17979059083 57063970133 305644004411 970087492261 1312471313059 22312012322003