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101030232120 = 233510352315629
BaseRepresentation
bin101111000010111011…
…1110000000000111000
3100122202222012120000220
41132011313300000320
53123402214411440
6114225044300040
710204423542456
oct1360567600070
9318688176026
10101030232120
1139934a28804
12176b69a1620
1396b10a344c
144c65bdb9d6
1529648dd8d0
hex1785df0038

101030232120 has 128 divisors (see below), whose sum is σ = 306638092800. Its totient is φ = 26627111424.

The previous prime is 101030232119. The next prime is 101030232131. The reversal of 101030232120 is 21232030101.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 101030232120.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6456466 + ... + 6472094.

It is an arithmetic number, because the mean of its divisors is an integer number (2395610100).

Almost surely, 2101030232120 is an apocalyptic number.

101030232120 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 101030232120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153319046400).

101030232120 is an abundant number, since it is smaller than the sum of its proper divisors (205607860680).

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

101030232120 is a wasteful number, since it uses less digits than its factorization.

101030232120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16269 (or 16265 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

Adding to 101030232120 its reverse (21232030101), we get a palindrome (122262262221).

The spelling of 101030232120 in words is "one hundred one billion, thirty million, two hundred thirty-two thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 103 120 206 309 412 515 523 618 824 1030 1046 1236 1545 1569 2060 2092 2472 2615 3090 3138 4120 4184 5230 6180 6276 7845 10460 12360 12552 15629 15690 20920 31258 31380 46887 53869 62516 62760 78145 93774 107738 125032 156290 161607 187548 215476 234435 269345 312580 323214 375096 430952 468870 538690 625160 646428 808035 937740 1077380 1292856 1609787 1616070 1875480 2154760 3219574 3232140 4829361 6439148 6464280 8048935 8173967 9658722 12878296 16097870 16347934 19317444 24146805 24521901 32195740 32695868 38634888 40869835 48293610 49043802 64391480 65391736 81739670 96587220 98087604 122609505 163479340 193174440 196175208 245219010 326958680 490438020 841918601 980876040 1683837202 2525755803 3367674404 4209593005 5051511606 6735348808 8419186010 10103023212 12628779015 16838372020 20206046424 25257558030 33676744040 50515116060 101030232120