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101023133310 = 23351134014523
BaseRepresentation
bin101111000010101110…
…0101010111001111110
3100122202110211220022000
41132011130222321332
53123343410231220
6114224232203130
710204306315311
oct1360534527176
9318673756260
10101023133310
1139930a1a320
12176b45394a6
1396ac789278
144c64cb0978
152963e8a390
hex178572ae7e

101023133310 has 64 divisors (see below), whose sum is σ = 293885487360. Its totient is φ = 24490455840.

The previous prime is 101023133269. The next prime is 101023133317. The reversal of 101023133310 is 13331320101.

It is a happy number.

101023133310 is a `hidden beast` number, since 10 + 10 + 2 + 313 + 331 + 0 = 666.

It is a super-2 number, since 2×1010231333102 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101023133317) 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, 17004292 + ... + 17010231.

It is an arithmetic number, because the mean of its divisors is an integer number (4591960740).

Almost surely, 2101023133310 is an apocalyptic number.

101023133310 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

101023133310 is an abundant number, since it is smaller than the sum of its proper divisors (192862354050).

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

101023133310 is a wasteful number, since it uses less digits than its factorization.

101023133310 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34014550 (or 34014544 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 18.

Adding to 101023133310 its reverse (13331320101), we get a palindrome (114354453411).

The spelling of 101023133310 in words is "one hundred one billion, twenty-three million, one hundred thirty-three thousand, three hundred ten".

Divisors: 1 2 3 5 6 9 10 11 15 18 22 27 30 33 45 54 55 66 90 99 110 135 165 198 270 297 330 495 594 990 1485 2970 34014523 68029046 102043569 170072615 204087138 306130707 340145230 374159753 510217845 612261414 748319506 918392121 1020435690 1122479259 1530653535 1836784242 1870798765 2244958518 3061307070 3367437777 3741597530 4591960605 5612396295 6734875554 9183921210 10102313331 11224792590 16837188885 20204626662 33674377770 50511566655 101023133310