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101023323330 = 23537461197423
BaseRepresentation
bin101111000010101110…
…1011001010011000010
3100122202111012112221210
41132011131121103002
53123343432321310
6114224240230550
710204311036306
oct1360535312302
9318674175853
10101023323330
113993103a066
12176b460b456
1396ac8248c7
144c64d1dd06
152963ec6820
hex17857594c2

101023323330 has 64 divisors (see below), whose sum is σ = 249550253568. Its totient is φ = 26154466560.

The previous prime is 101023323329. The next prime is 101023323341. The reversal of 101023323330 is 33323320101.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 101023323297 and 101023323306.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 412999 + ... + 610421.

It is an arithmetic number, because the mean of its divisors is an integer number (3899222712).

Almost surely, 2101023323330 is an apocalyptic number.

101023323330 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 101023323330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124775126784).

101023323330 is an abundant number, since it is smaller than the sum of its proper divisors (148526930238).

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

101023323330 is a wasteful number, since it uses less digits than its factorization.

101023323330 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 197931.

The product of its (nonzero) digits is 972, while the sum is 21.

Adding to 101023323330 its reverse (33323320101), we get a palindrome (134346643431).

The spelling of 101023323330 in words is "one hundred one billion, twenty-three million, three hundred twenty-three thousand, three hundred thirty".

Divisors: 1 2 3 5 6 10 15 30 37 74 111 185 222 370 461 555 922 1110 1383 2305 2766 4610 6915 13830 17057 34114 51171 85285 102342 170570 197423 255855 394846 511710 592269 987115 1184538 1974230 2961345 5922690 7304651 14609302 21913953 36523255 43827906 73046510 91012003 109569765 182024006 219139530 273036009 455060015 546072018 910120030 1365180045 2730360090 3367444111 6734888222 10102332333 16837220555 20204664666 33674441110 50511661665 101023323330