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1001011010090 = 257132352979029
BaseRepresentation
bin11101001000100001110…
…01111101101000101010
310112200210011211001121012
432210100321331220222
5112400032304310330
62043505203543522
7132214662124220
oct16442071755052
93480704731535
101001011010090
11356587689823
1214200468aba2
137351988c270
143664081cb10
151b08a3bec95
hexe910e7da2a

1001011010090 has 128 divisors (see below), whose sum is σ = 2314736040960. Its totient is φ = 302938656768.

The previous prime is 1001011010089. The next prime is 1001011010107. The reversal of 1001011010090 is 900101101001.

It is a happy number.

1001011010090 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 110861696 + ... + 110870724.

It is an arithmetic number, because the mean of its divisors is an integer number (18083875320).

Almost surely, 21001011010090 is an apocalyptic number.

1001011010090 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1001011010090 is an abundant number, since it is smaller than the sum of its proper divisors (1313725030870).

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

1001011010090 is a wasteful number, since it uses less digits than its factorization.

1001011010090 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14376.

The product of its (nonzero) digits is 9, while the sum is 14.

Adding to 1001011010090 its reverse (900101101001), we get a palindrome (1901112111091).

The spelling of 1001011010090 in words is "one trillion, one billion, eleven million, ten thousand, ninety".

Divisors: 1 2 5 7 10 13 14 23 26 35 46 65 70 91 115 130 161 182 230 299 322 455 598 805 910 1495 1610 2093 2990 4186 5297 9029 10465 10594 18058 20930 26485 37079 45145 52970 63203 68861 74158 90290 117377 121831 126406 137722 185395 207667 234754 243662 316015 344305 370790 415334 482027 586885 609155 632030 688610 821639 852817 964054 1038335 1173770 1218310 1453669 1583803 1643278 1705634 2076670 2410135 2699671 2907338 3167606 4108195 4264085 4820270 5399342 7268345 7919015 8216390 8528170 11086621 13498355 14536690 15838030 18897697 22173242 26996710 37795394 47826613 55433105 94488485 95653226 110866210 188976970 239133065 334786291 478266130 621745969 669572582 1100012099 1243491938 1673931455 2200024198 3108729845 3347862910 4352221783 5500060495 6217459690 7700084693 8704443566 11000120990 14300157287 15400169386 21761108915 28600314574 38500423465 43522217830 71500786435 77000846930 100101101009 143001572870 200202202018 500505505045 1001011010090