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10120122002820 = 2235217057777071
BaseRepresentation
bin1001001101000100011001…
…0001101110110110000100
31022211110210200222020201210
42103101012101232312010
52311302002213042240
633305041520251420
72063104025462124
oct223210621566604
938743720866653
1010120122002820
113251a13048715
121175420470b70
135854286bb2bb
1426db60752c84
151283aa997780
hex9344646ed84

10120122002820 has 48 divisors (see below), whose sum is σ = 28336508621568. Its totient is φ = 2698683294720.

The previous prime is 10120122002813. The next prime is 10120122002821. The reversal of 10120122002820 is 2820022102101.

It is a super-2 number, since 2×101201220028202 (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (10120122002821) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12634885 + ... + 13411955.

It is an arithmetic number, because the mean of its divisors is an integer number (590343929616).

Almost surely, 210120122002820 is an apocalyptic number.

10120122002820 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10120122002820 is an abundant number, since it is smaller than the sum of its proper divisors (18216386618748).

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

10120122002820 is a wasteful number, since it uses less digits than its factorization.

10120122002820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 994140 (or 994138 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 21.

Adding to 10120122002820 its reverse (2820022102101), we get a palindrome (12940144104921).

The spelling of 10120122002820 in words is "ten trillion, one hundred twenty billion, one hundred twenty-two million, two thousand, eight hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 217057 434114 651171 777071 868228 1085285 1302342 1554142 2170570 2331213 2604684 3108284 3255855 3885355 4341140 4662426 6511710 7770710 9324852 11656065 13023420 15541420 23312130 46624260 168668700047 337337400094 506006100141 674674800188 843343500235 1012012200282 1686687000470 2024024400564 2530030500705 3373374000940 5060061001410 10120122002820