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1020252415410 = 232523492875563
BaseRepresentation
bin11101101100010111100…
…10000110010110110010
310121112110010220201120200
432312023302012112302
5113203434104243120
62100410354020030
7133465543304634
oct16661362062662
93545403821520
101020252415410
11363760988398
12145894577616
13752950503b7
1437548076a54
151b814741e90
hexed8bc865b2

1020252415410 has 48 divisors (see below), whose sum is σ = 2767989167424. Its totient is φ = 260238296736.

The previous prime is 1020252415361. The next prime is 1020252415477. The reversal of 1020252415410 is 145142520201.

It is a happy number.

1020252415410 is a `hidden beast` number, since 1 + 0 + 2 + 0 + 2 + 5 + 241 + 5 + 410 = 666.

It is a super-2 number, since 2×10202524154102 (a number of 25 digits) contains 22 as substring.

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 246435712 + ... + 246439851.

It is an arithmetic number, because the mean of its divisors is an integer number (57666440988).

Almost surely, 21020252415410 is an apocalyptic number.

1020252415410 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1020252415410 is an abundant number, since it is smaller than the sum of its proper divisors (1747736752014).

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

1020252415410 is a wasteful number, since it uses less digits than its factorization.

1020252415410 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 492875599 (or 492875596 counting only the distinct ones).

The product of its (nonzero) digits is 3200, while the sum is 27.

Adding to 1020252415410 its reverse (145142520201), we get a palindrome (1165394935611).

The spelling of 1020252415410 in words is "one trillion, twenty billion, two hundred fifty-two million, four hundred fifteen thousand, four hundred ten".

Divisors: 1 2 3 5 6 9 10 15 18 23 30 45 46 69 90 115 138 207 230 345 414 690 1035 2070 492875563 985751126 1478626689 2464377815 2957253378 4435880067 4928755630 7393133445 8871760134 11336137949 14786266890 22179400335 22672275898 34008413847 44358800670 56680689745 68016827694 102025241541 113361379490 170042069235 204050483082 340084138470 510126207705 1020252415410