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4101241100 = 22521131432797
BaseRepresentation
bin1111010001110011…
…1111100100001100
3101120211012122010112
43310130333210030
531344404203400
61514543455152
7203426655065
oct36434774414
911524178115
104101241100
111815053160
129655b74b8
135048ab0a8
142ac98956c
151900c2835
hexf473f90c

4101241100 has 144 divisors (see below), whose sum is σ = 10258676736. Its totient is φ = 1409184000.

The previous prime is 4101241063. The next prime is 4101241117. The reversal of 4101241100 is 11421014.

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, 1464902 + ... + 1467698.

Almost surely, 24101241100 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4101241100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5129338368).

4101241100 is an abundant number, since it is smaller than the sum of its proper divisors (6157435636).

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

4101241100 is a wasteful number, since it uses less digits than its factorization.

4101241100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2896 (or 2889 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

The square root of 4101241100 is about 64040.9330038219. The cubic root of 4101241100 is about 1600.6821440292.

Adding to 4101241100 its reverse (11421014), we get a palindrome (4112662114).

The spelling of 4101241100 in words is "four billion, one hundred one million, two hundred forty-one thousand, one hundred".

Divisors: 1 2 4 5 10 11 20 22 25 31 43 44 50 55 62 86 100 110 124 155 172 215 220 275 310 341 430 473 550 620 682 775 860 946 1075 1100 1333 1364 1550 1705 1892 2150 2365 2666 2797 3100 3410 4300 4730 5332 5594 6665 6820 8525 9460 11188 11825 13330 13985 14663 17050 23650 26660 27970 29326 30767 33325 34100 47300 55940 58652 61534 66650 69925 73315 86707 120271 123068 133300 139850 146630 153835 173414 240542 279700 293260 307670 346828 366575 433535 481084 601355 615340 733150 769175 867070 953777 1202710 1322981 1466300 1538350 1734140 1907554 2167675 2405420 2645962 3006775 3076700 3728401 3815108 4335350 4768885 5291924 6013550 6614905 7456802 8670700 9537770 12027100 13229810 14913604 18642005 19075540 23844425 26459620 33074525 37284010 41012411 47688850 66149050 74568020 82024822 93210025 95377700 132298100 164049644 186420050 205062055 372840100 410124110 820248220 1025310275 2050620550 4101241100