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1012121132310 = 2325611011825319
BaseRepresentation
bin11101011101001110001…
…11101101110100010110
310120202110110110202010100
432232213013231310112
5113040311002213220
62052543444234530
7133060206451131
oct16564707556426
93522413422110
101012121132310
11360268aa2012
121441a539ba46
137459a562792
1436db6197218
151b4da962d90
hexeba71edd16

1012121132310 has 96 divisors (see below), whose sum is σ = 2701137741120. Its totient is φ = 262845792000.

The previous prime is 1012121132291. The next prime is 1012121132311. The reversal of 1012121132310 is 132311212101.

1012121132310 is a `hidden beast` number, since 1 + 0 + 121 + 211 + 323 + 10 = 666.

It is a super-2 number, since 2×10121211323102 (a number of 25 digits) contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1012121132311) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 358170 + ... + 1467149.

It is an arithmetic number, because the mean of its divisors is an integer number (28136851470).

Almost surely, 21012121132310 is an apocalyptic number.

1012121132310 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1012121132310 is an abundant number, since it is smaller than the sum of its proper divisors (1689016608810).

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

1012121132310 is a wasteful number, since it uses less digits than its factorization.

1012121132310 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1825494 (or 1825491 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

Adding to 1012121132310 its reverse (132311212101), we get a palindrome (1144432344411).

The spelling of 1012121132310 in words is "one trillion, twelve billion, one hundred twenty-one million, one hundred thirty-two thousand, three hundred ten".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 61 90 101 122 183 202 303 305 366 505 549 606 610 909 915 1010 1098 1515 1818 1830 2745 3030 4545 5490 6161 9090 12322 18483 30805 36966 55449 61610 92415 110898 184830 277245 554490 1825319 3650638 5475957 9126595 10951914 16427871 18253190 27379785 32855742 54759570 82139355 111344459 164278710 184357219 222688918 334033377 368714438 553071657 556722295 668066754 921786095 1002100131 1106143314 1113444590 1659214971 1670166885 1843572190 2004200262 2765358285 3318429942 3340333770 5010500655 5530716570 8296074855 10021001310 11245790359 16592149710 22491580718 33737371077 56228951795 67474742154 101212113231 112457903590 168686855385 202424226462 337373710770 506060566155 1012121132310