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1001135434220 = 225174171817463
BaseRepresentation
bin11101001000110000101…
…00100110100111101100
310112201002211221110102022
432210120110212213230
5112400311132343340
62043525410445312
7132221032532615
oct16443024464754
93481084843368
101001135434220
11356640942489
1214203a293838
13735395a4acc
143665316ac0c
151b09629b3b5
hexe9185269ec

1001135434220 has 48 divisors (see below), whose sum is σ = 2280348116928. Its totient is φ = 367705405440.

The previous prime is 1001135434219. The next prime is 1001135434241. The reversal of 1001135434220 is 224345311001.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 1001135434220.

It is an unprimeable number.

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, 35894792 + ... + 35922671.

It is an arithmetic number, because the mean of its divisors is an integer number (47507252436).

Almost surely, 21001135434220 is an apocalyptic number.

1001135434220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1001135434220 is an abundant number, since it is smaller than the sum of its proper divisors (1279212682708).

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

1001135434220 is a wasteful number, since it uses less digits than its factorization.

1001135434220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 71817530 (or 71817528 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 26.

The spelling of 1001135434220 in words is "one trillion, one billion, one hundred thirty-five million, four hundred thirty-four thousand, two hundred twenty".

Divisors: 1 2 4 5 10 17 20 34 41 68 82 85 164 170 205 340 410 697 820 1394 2788 3485 6970 13940 71817463 143634926 287269852 359087315 718174630 1220896871 1436349260 2441793742 2944515983 4883587484 5889031966 6104484355 11778063932 12208968710 14722579915 24417937420 29445159830 50056771711 58890319660 100113543422 200227086844 250283858555 500567717110 1001135434220