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120103121100 = 223521937569479
BaseRepresentation
bin110111111011010110…
…1000011000011001100
3102111000012012201001110
41233312231003003030
53431432344333400
6131101414412020
711451160454004
oct1576655030314
9374005181043
10120103121100
1146a32098576
121b33a361010
13b430681681
145b54d0b004
1531ce074e50
hex1bf6b430cc

120103121100 has 144 divisors (see below), whose sum is σ = 375674566400. Its totient is φ = 29521739520.

The previous prime is 120103121093. The next prime is 120103121107. The reversal of 120103121100 is 1121301021.

It is an interprime number because it is at equal distance from previous prime (120103121093) and next prime (120103121107).

It is a super-2 number, since 2×1201031211002 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is not an unprimeable number, because it can be changed into a prime (120103121107) 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, 73840 + ... + 495639.

Almost surely, 2120103121100 is an apocalyptic number.

120103121100 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 120103121100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (187837283200).

120103121100 is an abundant number, since it is smaller than the sum of its proper divisors (255571445300).

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

120103121100 is a wasteful number, since it uses less digits than its factorization.

120103121100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 569552 (or 569545 counting only the distinct ones).

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

Adding to 120103121100 its reverse (1121301021), we get a palindrome (121224422121).

The spelling of 120103121100 in words is "one hundred twenty billion, one hundred three million, one hundred twenty-one thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 19 20 25 30 37 38 50 57 60 74 75 76 95 100 111 114 148 150 185 190 222 228 285 300 370 380 444 475 555 570 703 740 925 950 1110 1140 1406 1425 1850 1900 2109 2220 2775 2812 2850 3515 3700 4218 5550 5700 7030 8436 10545 11100 14060 17575 21090 35150 42180 52725 70300 105450 210900 569479 1138958 1708437 2277916 2847395 3416874 5694790 6833748 8542185 10820101 11389580 14236975 17084370 21070723 21640202 28473950 32460303 34168740 42141446 42710925 43280404 54100505 56947900 63212169 64920606 84282892 85421850 105353615 108201010 126424338 129841212 162301515 170843700 210707230 216402020 252848676 270502525 316060845 324603030 400343737 421414460 526768075 541005050 632121690 649206060 800687474 811507575 1053536150 1082010100 1201031211 1264243380 1580304225 1601374948 1623015150 2001718685 2107072300 2402062422 3160608450 3246030300 4003437370 4804124844 6005156055 6321216900 8006874740 10008593425 12010312110 20017186850 24020624220 30025780275 40034373700 60051560550 120103121100