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101233130220 = 223251019535843
BaseRepresentation
bin101111001000111110…
…1101111101011101100
3100200022002222211220100
41132101331233223230
53124311140131340
6114301133151100
710212436260225
oct1362175575354
9320262884810
10101233130220
1139a29510092
121775292b490
1397141338b1
144c84b3624c
15297761b830
hex1791f6faec

101233130220 has 144 divisors (see below), whose sum is σ = 310492701792. Its totient is φ = 26695603200.

The previous prime is 101233130179. The next prime is 101233130227. The reversal of 101233130220 is 22031332101.

101233130220 is a `hidden beast` number, since 1 + 0 + 12 + 331 + 302 + 20 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 101233130193 and 101233130202.

It is not an unprimeable number, because it can be changed into a prime (101233130227) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 17322619 + ... + 17328461.

It is an arithmetic number, because the mean of its divisors is an integer number (2156199318).

Almost surely, 2101233130220 is an apocalyptic number.

101233130220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 101233130220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155246350896).

101233130220 is an abundant number, since it is smaller than the sum of its proper divisors (209259571572).

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

101233130220 is a wasteful number, since it uses less digits than its factorization.

101233130220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6912 (or 6907 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 101233130220 its reverse (22031332101), we get a palindrome (123264462321).

The spelling of 101233130220 in words is "one hundred one billion, two hundred thirty-three million, one hundred thirty thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 101 180 202 303 404 505 606 909 953 1010 1212 1515 1818 1906 2020 2859 3030 3636 3812 4545 4765 5718 5843 6060 8577 9090 9530 11436 11686 14295 17154 17529 18180 19060 23372 28590 29215 34308 35058 42885 52587 57180 58430 70116 85770 87645 96253 105174 116860 171540 175290 192506 210348 262935 288759 350580 385012 481265 525870 577518 590143 866277 962530 1051740 1155036 1180286 1443795 1732554 1770429 1925060 2360572 2887590 2950715 3465108 3540858 4331385 5311287 5568379 5775180 5901430 7081716 8662770 8852145 10622574 11136758 11802860 16705137 17325540 17704290 21245148 22273516 26556435 27841895 33410274 35408580 50115411 53112870 55683790 66820548 83525685 100230822 106225740 111367580 167051370 200461644 250577055 334102740 501154110 562406279 1002308220 1124812558 1687218837 2249625116 2812031395 3374437674 5061656511 5624062790 6748875348 8436094185 10123313022 11248125580 16872188370 20246626044 25308282555 33744376740 50616565110 101233130220