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1023431232120 = 2335116131264807
BaseRepresentation
bin11101110010010010100…
…00010100101001111000
310121211122200102100022220
432321021100110221320
5113231441343411440
62102054031044040
7133640402640063
oct16711120245170
93554580370286
101023431232120
11365042282440
12146421070620
13756807b302b
143776a3098da
151b94d8588d0
hexee49414a78

1023431232120 has 128 divisors (see below), whose sum is σ = 3354877923840. Its totient is φ = 247699607040.

The previous prime is 1023431232119. The next prime is 1023431232121. The reversal of 1023431232120 is 212321343201.

It is an interprime number because it is at equal distance from previous prime (1023431232119) and next prime (1023431232121).

It is a super-2 number, since 2×10234312321202 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1023431232121) 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, 176757 + ... + 1441563.

It is an arithmetic number, because the mean of its divisors is an integer number (26209983780).

Almost surely, 21023431232120 is an apocalyptic number.

1023431232120 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 1023431232120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1677438961920).

1023431232120 is an abundant number, since it is smaller than the sum of its proper divisors (2331446691720).

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

1023431232120 is a wasteful number, since it uses less digits than its factorization.

1023431232120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1265445 (or 1265441 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 1023431232120 its reverse (212321343201), we get a palindrome (1235752575321).

The spelling of 1023431232120 in words is "one trillion, twenty-three billion, four hundred thirty-one million, two hundred thirty-two thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 20 22 24 30 33 40 44 55 60 66 88 110 120 132 165 220 264 330 440 613 660 1226 1320 1839 2452 3065 3678 4904 6130 6743 7356 9195 12260 13486 14712 18390 20229 24520 26972 33715 36780 40458 53944 67430 73560 80916 101145 134860 161832 202290 269720 404580 809160 1264807 2529614 3794421 5059228 6324035 7588842 10118456 12648070 13912877 15177684 18972105 25296140 27825754 30355368 37944210 41738631 50592280 55651508 69564385 75888420 83477262 111303016 139128770 151776840 166954524 208693155 278257540 333909048 417386310 556515080 775326691 834772620 1550653382 1669545240 2325980073 3101306764 3876633455 4651960146 6202613528 7753266910 8528593601 9303920292 11629900365 15506533820 17057187202 18607840584 23259800730 25585780803 31013067640 34114374404 42642968005 46519601460 51171561606 68228748808 85285936010 93039202920 102343123212 127928904015 170571872020 204686246424 255857808030 341143744040 511715616060 1023431232120