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10123302130020 = 2232565881853669
BaseRepresentation
bin1001001101010000001111…
…0100111101000101100100
31022211210000022221110010200
42103110003310331011210
52311330010321130040
633310325241350500
72063245602223032
oct223240364750544
938753008843120
1010123302130020
1132532a5158312
121175b69498430
135858144bc581
1426dd82c47552
151284e4c6c630
hex93503d3d164

10123302130020 has 72 divisors (see below), whose sum is σ = 30707851869240. Its totient is φ = 2699503096320.

The previous prime is 10123302129977. The next prime is 10123302130021. The reversal of 10123302130020 is 2003120332101.

10123302130020 is a `hidden beast` number, since 1 + 0 + 12 + 330 + 2 + 1 + 300 + 20 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 1389291257124 + 8734010872896 = 1178682^2 + 2955336^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 10123302129975 and 10123302130002.

It is not an unprimeable number, because it can be changed into a prime (10123302130021) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 11431746 + ... + 12285414.

Almost surely, 210123302130020 is an apocalyptic number.

10123302130020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10123302130020 is an abundant number, since it is smaller than the sum of its proper divisors (20584549739220).

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

10123302130020 is a wasteful number, since it uses less digits than its factorization.

10123302130020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 919565 (or 919560 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 10123302130020 its reverse (2003120332101), we get a palindrome (12126422462121).

The spelling of 10123302130020 in words is "ten trillion, one hundred twenty-three billion, three hundred two million, one hundred thirty thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 65881 131762 197643 263524 329405 395286 592929 658810 790572 853669 988215 1185858 1317620 1707338 1976430 2371716 2561007 2964645 3414676 3952860 4268345 5122014 5929290 7683021 8536690 10244028 11858580 12805035 15366042 17073380 25610070 30732084 38415105 51220140 76830210 153660420 56240567389 112481134778 168721702167 224962269556 281202836945 337443404334 506165106501 562405673890 674886808668 843608510835 1012330213002 1124811347780 1687217021670 2024660426004 2530825532505 3374434043340 5061651065010 10123302130020