Search a number
-
+
1023100331240 = 2351312739739023
BaseRepresentation
bin11101110001101011000…
…10000010010011101000
310121210210121202211122202
432320311202002103220
5113230302141044430
62102001130435332
7133626244220351
oct16706542022350
93553717684582
101023100331240
11364992512739
1214634a292b48
137562a0861b0
14377383b0d28
151b92e793d45
hexee358824e8

1023100331240 has 128 divisors (see below), whose sum is σ = 2504928706560. Its totient is φ = 373832008704.

The previous prime is 1023100331233. The next prime is 1023100331249. The reversal of 1023100331240 is 421330013201.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (1023100331249) 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, 26198369 + ... + 26237391.

It is an arithmetic number, because the mean of its divisors is an integer number (19569755520).

Almost surely, 21023100331240 is an apocalyptic number.

1023100331240 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 1023100331240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1252464353280).

1023100331240 is an abundant number, since it is smaller than the sum of its proper divisors (1481828375320).

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

1023100331240 is a wasteful number, since it uses less digits than its factorization.

1023100331240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 39571 (or 39567 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 20.

Adding to 1023100331240 its reverse (421330013201), we get a palindrome (1444430344441).

The spelling of 1023100331240 in words is "one trillion, twenty-three billion, one hundred million, three hundred thirty-one thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 13 20 26 40 52 65 104 127 130 254 260 397 508 520 635 794 1016 1270 1588 1651 1985 2540 3176 3302 3970 5080 5161 6604 7940 8255 10322 13208 15880 16510 20644 25805 33020 39023 41288 50419 51610 66040 78046 100838 103220 156092 195115 201676 206440 252095 312184 390230 403352 504190 507299 655447 780460 1008380 1014598 1310894 1560920 2016760 2029196 2536495 2621788 3277235 4058392 4955921 5072990 5243576 6554470 9911842 10145980 13108940 15492131 19823684 20291960 24779605 26217880 30984262 39647368 49559210 61968524 64426973 77460655 99118420 123937048 128853946 154921310 198236840 201397703 257707892 309842620 322134865 402795406 515415784 619685240 644269730 805590812 1006988515 1288539460 1611181624 1967500637 2013977030 2577078920 3935001274 4027954060 7870002548 8055908120 9837503185 15740005096 19675006370 25577508281 39350012740 51155016562 78700025480 102310033124 127887541405 204620066248 255775082810 511550165620 1023100331240