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15330542100 = 22352199491523
BaseRepresentation
bin11100100011100010…
…11000001000010100
31110120102010020012120
432101301120020110
5222344104321400
611013122415540
71051622313006
oct162161301024
943512106176
1015330542100
116557767205
122b7a2015b0
1315a417b7b3
14a560a8376
155ead57ca0
hex391c58214

15330542100 has 144 divisors (see below), whose sum is σ = 44755468800. Its totient is φ = 4051555200.

The previous prime is 15330542093. The next prime is 15330542131. The reversal of 15330542100 is 124503351.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 29312439 + ... + 29312961.

Almost surely, 215330542100 is an apocalyptic number.

15330542100 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 15330542100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22377734400).

15330542100 is an abundant number, since it is smaller than the sum of its proper divisors (29424926700).

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

15330542100 is a wasteful number, since it uses less digits than its factorization.

15330542100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1230 (or 1223 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 24.

The spelling of 15330542100 in words is "fifteen billion, three hundred thirty million, five hundred forty-two thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 100 150 199 300 398 491 523 597 796 982 995 1046 1194 1473 1569 1964 1990 2092 2388 2455 2615 2946 2985 3138 3980 4910 4975 5230 5892 5970 6276 7365 7845 9820 9950 10460 11940 12275 13075 14730 14925 15690 19900 24550 26150 29460 29850 31380 36825 39225 49100 52300 59700 73650 78450 97709 104077 147300 156900 195418 208154 256793 293127 312231 390836 416308 488545 513586 520385 586254 624462 770379 977090 1027172 1040770 1172508 1248924 1283965 1465635 1540758 1561155 1954180 2081540 2442725 2567930 2601925 2931270 3081516 3122310 3851895 4885450 5135860 5203850 5862540 6244620 6419825 7328175 7703790 7805775 9770900 10407700 12839650 14656350 15407580 15611550 19259475 25679300 29312700 31223100 38518950 51101807 77037900 102203614 153305421 204407228 255509035 306610842 511018070 613221684 766527105 1022036140 1277545175 1533054210 2555090350 3066108420 3832635525 5110180700 7665271050 15330542100