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10411001020 = 2257476532423
BaseRepresentation
bin10011011001000101…
…10100010010111100
3222212120010122112101
421230202310102330
5132310204013040
64441023514444
7515665022440
oct115442642274
928776118471
1010411001020
114462814182
122026758a24
13c9bbb1144
1470a98c820
1540dee609a
hex26c8b44bc

10411001020 has 96 divisors (see below), whose sum is σ = 25567653888. Its totient is φ = 3486749952.

The previous prime is 10411001011. The next prime is 10411001021. The reversal of 10411001020 is 2010011401.

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

It is a junction number, because it is equal to n+sod(n) for n = 10411000988 and 10411001006.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10411001021) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4295529 + ... + 4297951.

It is an arithmetic number, because the mean of its divisors is an integer number (266329728).

Almost surely, 210411001020 is an apocalyptic number.

10411001020 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 10411001020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12783826944).

10411001020 is an abundant number, since it is smaller than the sum of its proper divisors (15156652868).

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

10411001020 is a wasteful number, since it uses less digits than its factorization.

10411001020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3139 (or 3137 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 10411001020 its reverse (2010011401), we get a palindrome (12421012421).

The spelling of 10411001020 in words is "ten billion, four hundred eleven million, one thousand, twenty".

Divisors: 1 2 4 5 7 10 14 20 28 35 47 70 94 140 188 235 329 470 653 658 940 1306 1316 1645 2423 2612 3265 3290 4571 4846 6530 6580 9142 9692 12115 13060 16961 18284 22855 24230 30691 33922 45710 48460 61382 67844 84805 91420 113881 122764 153455 169610 214837 227762 306910 339220 429674 455524 569405 613820 797167 859348 1074185 1138810 1582219 1594334 2148370 2277620 3164438 3188668 3985835 4296740 6328876 7911095 7971670 11075533 15822190 15943340 22151066 31644380 44302132 55377665 74364293 110755330 148728586 221510660 297457172 371821465 520550051 743642930 1041100102 1487285860 2082200204 2602750255 5205500510 10411001020