Search a number
-
+
102031110021012 = 223177334757197123
BaseRepresentation
bin10111001100101111111000…
…000100011001111110010100
3111101021002010111011012012020
4113030233320010121332110
5101333134203131133022
61001000240031253140
730330335010360114
oct2714577004317624
9441232114135166
10102031110021012
112a568172730227
12b53a39037a1b0
1344c1652a21373
141b2a4912d7044
15bbe0e3a8b35c
hex5ccbf8119f94

102031110021012 has 96 divisors (see below), whose sum is σ = 255538615957632. Its totient is φ = 31570201645056.

The previous prime is 102031110021011. The next prime is 102031110021013. The reversal of 102031110021012 is 210120011130201.

It is an interprime number because it is at equal distance from previous prime (102031110021011) and next prime (102031110021013).

It is a junction number, because it is equal to n+sod(n) for n = 102031110020982 and 102031110021000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102031110021011) 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, 517502683 + ... + 517699805.

It is an arithmetic number, because the mean of its divisors is an integer number (2661860582892).

Almost surely, 2102031110021012 is an apocalyptic number.

102031110021012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 102031110021012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127769307978816).

102031110021012 is an abundant number, since it is smaller than the sum of its proper divisors (153507505936620).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

102031110021012 is a wasteful number, since it uses less digits than its factorization.

102031110021012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 231977 (or 231975 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 15.

Adding to 102031110021012 its reverse (210120011130201), we get a palindrome (312151121151213).

The spelling of 102031110021012 in words is "one hundred two trillion, thirty-one billion, one hundred ten million, twenty-one thousand, twelve".

Divisors: 1 2 3 4 6 12 17 34 51 68 73 102 146 204 219 292 438 876 1241 2482 3723 4964 7446 14892 34757 69514 104271 139028 197123 208542 394246 417084 590869 591369 788492 1181738 1182738 1772607 2363476 2365476 2537261 3351091 3545214 5074522 6702182 7090428 7611783 10053273 10149044 13404364 14389979 15223566 20106546 28779958 30447132 40213092 43133437 43169937 57559916 86266874 86339874 129400311 172533748 172679748 244629643 258800622 489259286 517601244 733888929 978518572 1467777858 2935555716 6851404111 13702808222 20554212333 27405616444 41108424666 82216849332 116473869887 232947739774 349421609661 465895479548 500152500103 698843219322 1000305000206 1397686438644 1500457500309 2000610000412 3000915000618 6001830001236 8502592501751 17005185003502 25507777505253 34010370007004 51015555010506 102031110021012