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102012232221123 = 37217114233573599
BaseRepresentation
bin10111001100011110010010…
…110111010100000111000011
3111101012021101212020121002120
4113030132102313110013003
5101332332022422033443
61000543434510415323
730326066132620500
oct2714362267240703
9441167355217076
10102012232221123
112a5601656a9814
12b5367a2201543
1344bc93499b083
141b295c008c4a7
15bbd88b5de083
hex5cc792dd41c3

102012232221123 has 48 divisors (see below), whose sum is σ = 167545005465600. Its totient is φ = 54858903262464.

The previous prime is 102012232221101. The next prime is 102012232221139. The reversal of 102012232221123 is 321122232210201.

It is not a de Polignac number, because 102012232221123 - 224 = 102012215443907 is a prime.

It is a super-2 number, since 2×1020122322211232 (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 102012232221093 and 102012232221102.

It is not an unprimeable number, because it can be changed into a prime (102012232226123) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 26759278 + ... + 30332876.

It is an arithmetic number, because the mean of its divisors is an integer number (3490520947200).

Almost surely, 2102012232221123 is an apocalyptic number.

102012232221123 is a deficient number, since it is larger than the sum of its proper divisors (65532773244477).

102012232221123 is a wasteful number, since it uses less digits than its factorization.

102012232221123 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3585056 (or 3585049 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

Adding to 102012232221123 its reverse (321122232210201), we get a palindrome (423134464431324).

The spelling of 102012232221123 in words is "one hundred two trillion, twelve billion, two hundred thirty-two million, two hundred twenty-one thousand, one hundred twenty-three".

Divisors: 1 3 7 17 21 49 51 119 147 357 833 2499 11423 34269 79961 194191 239883 559727 582573 1359337 1679181 3573599 4078011 9515359 10720797 25015193 28546077 60751183 75045579 175106351 182253549 425258281 525319053 1275774843 2976807967 8930423901 40821221377 122463664131 285748549639 693960763409 857245648917 2000239847473 2081882290227 4857725343863 6000719542419 14573176031589 34004077407041 102012232221123