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10120301100320 = 255371709510321
BaseRepresentation
bin1001001101000101000011…
…1100111011110100100000
31022211111021011222100022112
42103101100330323310200
52311302334040202240
633305111355054452
72063111332001225
oct223212074736440
938744234870275
1010120301100320
113251aa5154284
121175470441428
13585456837458
1426db7a45394c
151283bb573665
hex93450f3bd20

10120301100320 has 48 divisors (see below), whose sum is σ = 24555406265208. Its totient is φ = 3938711777280.

The previous prime is 10120301100281. The next prime is 10120301100379. The reversal of 10120301100320 is 2300110302101.

It can be written as a sum of positive squares in 4 ways, for example, as 7016967889936 + 3103333210384 = 2648956^2 + 1761628^2 .

It is a super-2 number, since 2×101203011003202 (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10120301100295 and 10120301100304.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 854749241 + ... + 854761080.

Almost surely, 210120301100320 is an apocalyptic number.

10120301100320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10120301100320 is an abundant number, since it is smaller than the sum of its proper divisors (14435105164888).

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

10120301100320 is a wasteful number, since it uses less digits than its factorization.

10120301100320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1709510373 (or 1709510365 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 14.

Adding to 10120301100320 its reverse (2300110302101), we get a palindrome (12420411402421).

The spelling of 10120301100320 in words is "ten trillion, one hundred twenty billion, three hundred one million, one hundred thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 37 40 74 80 148 160 185 296 370 592 740 1184 1480 2960 5920 1709510321 3419020642 6838041284 8547551605 13676082568 17095103210 27352165136 34190206420 54704330272 63251881877 68380412840 126503763754 136760825680 253007527508 273521651360 316259409385 506015055016 632518818770 1012030110032 1265037637540 2024060220064 2530075275080 5060150550160 10120301100320