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100100022330 = 235711101429043
BaseRepresentation
bin101110100111001101…
…1010010000000111010
3100120101010212000002110
41131032123102000322
53120001101203310
6113552454513150
710142400102540
oct1351633220072
9316333760073
10100100022330
11394a7942390
12174973657b6
139593460459
144bb8459d90
15290cde5d20
hex174e6d203a

100100022330 has 128 divisors (see below), whose sum is σ = 302486317056. Its totient is φ = 20594016000.

The previous prime is 100100022317. The next prime is 100100022367. The reversal of 100100022330 is 33220001001.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 18789 + ... + 447831.

It is an arithmetic number, because the mean of its divisors is an integer number (2363174352).

Almost surely, 2100100022330 is an apocalyptic number.

100100022330 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 100100022330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151243158528).

100100022330 is an abundant number, since it is smaller than the sum of its proper divisors (202386294726).

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

100100022330 is a wasteful number, since it uses less digits than its factorization.

100100022330 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 429172.

The product of its (nonzero) digits is 36, while the sum is 12.

Adding to 100100022330 its reverse (33220001001), we get a palindrome (133320023331).

The spelling of 100100022330 in words is "one hundred billion, one hundred million, twenty-two thousand, three hundred thirty".

Divisors: 1 2 3 5 6 7 10 11 14 15 21 22 30 33 35 42 55 66 70 77 101 105 110 154 165 202 210 231 303 330 385 462 505 606 707 770 1010 1111 1155 1414 1515 2121 2222 2310 3030 3333 3535 4242 5555 6666 7070 7777 10605 11110 15554 16665 21210 23331 33330 38885 46662 77770 116655 233310 429043 858086 1287129 2145215 2574258 3003301 4290430 4719473 6006602 6435645 9009903 9438946 12871290 14158419 15016505 18019806 23597365 28316838 30033010 33036311 43333343 45049515 47194730 66072622 70792095 86666686 90099030 99108933 130000029 141584190 165181555 198217866 216666715 260000058 303333401 330363110 433333430 476666773 495544665 606666802 650000145 910000203 953333546 991089330 1300000290 1430000319 1516667005 1820000406 2383333865 2860000638 3033334010 3336667411 4550001015 4766667730 6673334822 7150001595 9100002030 10010002233 14300003190 16683337055 20020004466 33366674110 50050011165 100100022330