Search a number
-
+
102212422323432 = 23361241289698043
BaseRepresentation
bin10111001111011000101111…
…000111111100110011101000
3111101220102010110020110221020
4113033120233013330303220
5101344122020103322212
61001215423311212440
730346414052456601
oct2717305707746350
9441812113213836
10102212422323432
112a628054802663
12b569551517120
1345057894ba405
141b351714d6da8
15bc3ba65b4d8c
hex5cf62f1fcce8

102212422323432 has 64 divisors (see below), whose sum is σ = 260797767130560. Its totient is φ = 33373214438400.

The previous prime is 102212422323397. The next prime is 102212422323463. The reversal of 102212422323432 is 234323224212201.

It is a junction number, because it is equal to n+sod(n) for n = 102212422323393 and 102212422323402.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 144496198 + ... + 145201845.

It is an arithmetic number, because the mean of its divisors is an integer number (4074965111415).

Almost surely, 2102212422323432 is an apocalyptic number.

102212422323432 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

102212422323432 is an abundant number, since it is smaller than the sum of its proper divisors (158585344807128).

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

102212422323432 is a wasteful number, since it uses less digits than its factorization.

102212422323432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 289698354 (or 289698350 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 33.

Adding to 102212422323432 its reverse (234323224212201), we get a palindrome (336535646535633).

The spelling of 102212422323432 in words is "one hundred two trillion, two hundred twelve billion, four hundred twenty-two million, three hundred twenty-three thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 24 61 122 183 241 244 366 482 488 723 732 964 1446 1464 1928 2892 5784 14701 29402 44103 58804 88206 117608 176412 352824 289698043 579396086 869094129 1158792172 1738188258 2317584344 3476376516 6952753032 17671580623 35343161246 53014741869 69817228363 70686322492 106029483738 139634456726 141372644984 209451685089 212058967476 279268913452 418903370178 424117934952 558537826904 837806740356 1675613480712 4258850930143 8517701860286 12776552790429 17035403720572 25553105580858 34070807441144 51106211161716 102212422323432