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100022114010 = 235713191928323
BaseRepresentation
bin101110100100111001…
…0000101011011011010
3100120011201020211222010
41131021302011123122
53114321130122020
6113541033010350
710140432640560
oct1351162053332
9316151224863
10100022114010
113946796a745
12174752539b6
139580283160
144babd79a30
152906156de0
hex1749c856da

100022114010 has 128 divisors (see below), whose sum is σ = 311000094720. Its totient is φ = 19992842496.

The previous prime is 100022113987. The next prime is 100022114077. The reversal of 100022114010 is 10411220001.

It is a happy number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 912292 + ... + 1016031.

It is an arithmetic number, because the mean of its divisors is an integer number (2429688240).

Almost surely, 2100022114010 is an apocalyptic number.

100022114010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

100022114010 is an abundant number, since it is smaller than the sum of its proper divisors (210977980710).

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

100022114010 is a wasteful number, since it uses less digits than its factorization.

100022114010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1928372.

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 100022114010 its reverse (10411220001), we get a palindrome (110433334011).

The spelling of 100022114010 in words is "one hundred billion, twenty-two million, one hundred fourteen thousand, ten".

Divisors: 1 2 3 5 6 7 10 13 14 15 19 21 26 30 35 38 39 42 57 65 70 78 91 95 105 114 130 133 182 190 195 210 247 266 273 285 390 399 455 494 546 570 665 741 798 910 1235 1330 1365 1482 1729 1995 2470 2730 3458 3705 3990 5187 7410 8645 10374 17290 25935 51870 1928323 3856646 5784969 9641615 11569938 13498261 19283230 25068199 26996522 28924845 36638137 40494783 50136398 57849690 67491305 73276274 75204597 80989566 109914411 125340995 134982610 150409194 175477393 183190685 202473915 219828822 250681990 256466959 350954786 366381370 376022985 404947830 476295781 512933918 526432179 549572055 752045970 769400877 877386965 952591562 1052864358 1099144110 1282334795 1428887343 1538801754 1754773930 2381478905 2564669590 2632160895 2857774686 3334070467 3847004385 4762957810 5264321790 6668140934 7144436715 7694008770 10002211401 14288873430 16670352335 20004422802 33340704670 50011057005 100022114010