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120233032301020 = 225731371951308101
BaseRepresentation
bin11011010101100111101111…
…001011100011100111011100
3120202201011110202011110211011
4123111213233023203213130
5111224344222232113040
61103414143103505004
734216356424103602
oct3325475713434734
9522634422143734
10120233032301020
11353455a72a1041
1211599b732b8164
135211c070c48a2
14219944a1ad872
15dd780ca283ea
hex6d59ef2e39dc

120233032301020 has 96 divisors (see below), whose sum is σ = 257949343766016. Its totient is φ = 47063877120000.

The previous prime is 120233032301003. The next prime is 120233032301101. The reversal of 120233032301020 is 20103230332021.

It is a junction number, because it is equal to n+sod(n) for n = 120233032300982 and 120233032301000.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 390084970 + ... + 390393070.

It is an arithmetic number, because the mean of its divisors is an integer number (2686972330896).

Almost surely, 2120233032301020 is an apocalyptic number.

120233032301020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

120233032301020 is an abundant number, since it is smaller than the sum of its proper divisors (137716311464996).

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

120233032301020 is a wasteful number, since it uses less digits than its factorization.

120233032301020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 310271 (or 310269 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 22.

Adding to 120233032301020 its reverse (20103230332021), we get a palindrome (140336262633041).

The spelling of 120233032301020 in words is "one hundred twenty trillion, two hundred thirty-three billion, thirty-two million, three hundred one thousand, twenty".

Divisors: 1 2 4 5 10 20 73 137 146 274 292 365 548 685 730 1370 1460 1951 2740 3902 7804 9755 10001 19510 20002 39020 40004 50005 100010 142423 200020 267287 284846 308101 534574 569692 616202 712115 1069148 1232404 1336435 1424230 1540505 2672870 2848460 3081010 5345740 6162020 19511951 22491373 39023902 42209837 44982746 78047804 84419674 89965492 97559755 112456865 168839348 195119510 211049185 224913730 390239020 422098370 449827460 601105051 844196740 1202210102 2404420204 3005525255 3081318101 6011050510 6162636202 12022101020 12325272404 15406590505 30813181010 43880668723 61626362020 82351391987 87761337446 164702783974 175522674892 219403343615 329405567948 411756959935 438806687230 823513919870 877613374460 1647027839740 6011651615051 12023303230102 24046606460204 30058258075255 60116516150510 120233032301020