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10101006060 = 22355310330839
BaseRepresentation
bin10010110100001000…
…10001111011101100
3222001221211021101120
421122010101323230
5131141324143220
64350151340540
7505212064155
oct113204217354
928057737346
1010101006060
1143138333a2
121b5a981750
13c4c8c3b82
146bb73692c
153e1bb0a40
hex25a111eec

10101006060 has 96 divisors (see below), whose sum is σ = 29097169920. Its totient is φ = 2617036032.

The previous prime is 10101006023. The next prime is 10101006073. The reversal of 10101006060 is 6060010101.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 312121 + ... + 342959.

It is an arithmetic number, because the mean of its divisors is an integer number (303095520).

Almost surely, 210101006060 is an apocalyptic number.

10101006060 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10101006060, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14548584960).

10101006060 is an abundant number, since it is smaller than the sum of its proper divisors (18996163860).

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

10101006060 is a wasteful number, since it uses less digits than its factorization.

10101006060 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31007 (or 31005 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 15.

Adding to 10101006060 its reverse (6060010101), we get a palindrome (16161016161).

The spelling of 10101006060 in words is "ten billion, one hundred one million, six thousand, sixty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 53 60 103 106 159 206 212 265 309 318 412 515 530 618 636 795 1030 1060 1236 1545 1590 2060 3090 3180 5459 6180 10918 16377 21836 27295 30839 32754 54590 61678 65508 81885 92517 109180 123356 154195 163770 185034 308390 327540 370068 462585 616780 925170 1634467 1850340 3176417 3268934 4903401 6352834 6537868 8172335 9529251 9806802 12705668 15882085 16344670 19058502 19613604 24517005 31764170 32689340 38117004 47646255 49034010 63528340 95292510 98068020 168350101 190585020 336700202 505050303 673400404 841750505 1010100606 1683501010 2020201212 2525251515 3367002020 5050503030 10101006060