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120132000100 = 225272833171913
BaseRepresentation
bin110111111100001101…
…1001101100101100100
3102111002012112220121001
41233320123031211210
53432012243000400
6131104325403044
711451661103230
oct1577033154544
9374065486531
10120132000100
1146a47422812
121b347b69484
13b436653338
145b58aa75c0
1531d187ba6a
hex1bf86cd964

120132000100 has 144 divisors (see below), whose sum is σ = 300080043648. Its totient is φ = 40891714560.

The previous prime is 120132000061. The next prime is 120132000113. The reversal of 120132000100 is 1000231021.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 62796744 + ... + 62798656.

It is an arithmetic number, because the mean of its divisors is an integer number (2083889192).

Almost surely, 2120132000100 is an apocalyptic number.

120132000100 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 120132000100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150040021824).

120132000100 is an abundant number, since it is smaller than the sum of its proper divisors (179948043548).

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

120132000100 is a wasteful number, since it uses less digits than its factorization.

120132000100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2534 (or 2527 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 10.

Adding to 120132000100 its reverse (1000231021), we get a palindrome (121132231121).

The spelling of 120132000100 in words is "one hundred twenty billion, one hundred thirty-two million, one hundred", and thus it is an aban number.

Divisors: 1 2 4 5 7 10 14 20 25 28 35 50 70 100 140 175 283 317 350 566 634 700 1132 1268 1415 1585 1913 1981 2219 2830 3170 3826 3962 4438 5660 6340 7075 7652 7924 7925 8876 9565 9905 11095 13391 14150 15850 19130 19810 22190 26782 28300 31700 38260 39620 44380 47825 49525 53564 55475 66955 89711 95650 99050 110950 133910 179422 191300 198100 221900 267820 334775 358844 448555 541379 606421 627977 669550 897110 1082758 1212842 1255954 1339100 1794220 2165516 2242775 2425684 2511908 2706895 3032105 3139885 3789653 4244947 4485550 5413790 6064210 6279770 7579306 8489894 8971100 10827580 12128420 12559540 13534475 15158612 15160525 15699425 16979788 18948265 21224735 27068950 30321050 31398850 37896530 42449470 54137900 60642100 62797700 75793060 84898940 94741325 106123675 171617143 189482650 212247350 343234286 378965300 424494700 686468572 858085715 1201320001 1716171430 2402640002 3432342860 4290428575 4805280004 6006600005 8580857150 12013200010 17161714300 24026400020 30033000025 60066000050 120132000100