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1023133110020 = 225783449319597
BaseRepresentation
bin11101110001101110111…
…11000100111100000100
310121210212220110011200122
432320313133010330010
5113230334034010040
62102004301201112
7133630122641330
oct16706737047404
93553786404618
101023133110020
113649a9a7093a
12146359260198
1375633ac1c18
143773c8a47c0
151b9325bb1b5
hexee377c4f04

1023133110020 has 96 divisors (see below), whose sum is σ = 2485783980288. Its totient is φ = 346467313152.

The previous prime is 1023133109993. The next prime is 1023133110053. The reversal of 1023133110020 is 200113313201.

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, 52198862 + ... + 52218458.

It is an arithmetic number, because the mean of its divisors is an integer number (25893583128).

Almost surely, 21023133110020 is an apocalyptic number.

1023133110020 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 1023133110020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1242891990144).

1023133110020 is an abundant number, since it is smaller than the sum of its proper divisors (1462650870268).

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

1023133110020 is a wasteful number, since it uses less digits than its factorization.

1023133110020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24189 (or 24187 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 17.

Adding to 1023133110020 its reverse (200113313201), we get a palindrome (1223246423221).

The spelling of 1023133110020 in words is "one trillion, twenty-three billion, one hundred thirty-three million, one hundred ten thousand, twenty".

Divisors: 1 2 4 5 7 10 14 20 28 35 70 83 140 166 332 415 581 830 1162 1660 2324 2905 4493 5810 8986 11620 17972 19597 22465 31451 39194 44930 62902 78388 89860 97985 125804 137179 157255 195970 274358 314510 372919 391940 548716 629020 685895 745838 1371790 1491676 1626551 1864595 2610433 2743580 3253102 3729190 5220866 6506204 7458380 8132755 10441732 11385857 13052165 16265510 22771714 26104330 32531020 45543428 52208660 56929285 88049321 113858570 176098642 227717140 352197284 440246605 616345247 880493210 1232690494 1760986420 2465380988 3081726235 6163452470 7308093643 12326904940 14616187286 29232374572 36540468215 51156655501 73080936430 102313311002 146161872860 204626622004 255783277505 511566555010 1023133110020