Search a number
-
+
1030101133020 = 223561316988813
BaseRepresentation
bin11101111110101101100…
…11111110011011011100
310122110212112000102021120
432333112303332123130
5113334121342224040
62105115534130540
7134264603106231
oct16772663763334
93573775012246
101030101133020
11367955264733
12147782950a50
13761a45b005b
1437c00099788
151bbde1ba7d0
hexefd6cfe6dc

1030101133020 has 96 divisors (see below), whose sum is σ = 2932524598080. Its totient is φ = 270102159360.

The previous prime is 1030101133013. The next prime is 1030101133043. The reversal of 1030101133020 is 203311010301.

It is a super-2 number, since 2×10301011330202 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 11554134 + ... + 11642946.

It is an arithmetic number, because the mean of its divisors is an integer number (30547131230).

Almost surely, 21030101133020 is an apocalyptic number.

1030101133020 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 1030101133020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1466262299040).

1030101133020 is an abundant number, since it is smaller than the sum of its proper divisors (1902423465060).

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

1030101133020 is a wasteful number, since it uses less digits than its factorization.

1030101133020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 92055 (or 92053 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 15.

Adding to 1030101133020 its reverse (203311010301), we get a palindrome (1233412143321).

The spelling of 1030101133020 in words is "one trillion, thirty billion, one hundred one million, one hundred thirty-three thousand, twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 61 122 183 244 305 366 610 732 915 1220 1830 3169 3660 6338 9507 12676 15845 19014 31690 38028 47535 63380 88813 95070 177626 190140 193309 266439 355252 386618 444065 532878 579927 773236 888130 966545 1065756 1159854 1332195 1776260 1933090 2319708 2664390 2899635 3866180 5328780 5417593 5799270 10835186 11598540 16252779 21670372 27087965 32505558 54175930 65011116 81263895 108351860 162527790 281448397 325055580 562896794 844345191 1125793588 1407241985 1688690382 2814483970 3377380764 4221725955 5628967940 8443451910 16886903820 17168352217 34336704434 51505056651 68673408868 85841761085 103010113302 171683522170 206020226604 257525283255 343367044340 515050566510 1030101133020