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1310001021 = 327293719379
BaseRepresentation
bin100111000010101…
…0000011101111101
310101021222221120100
41032011100131331
510140330013041
6333553511313
744314552650
oct11605203575
93337887510
101310001021
1161250917a
12306872539
1317b52a144
14c5da5897
157a0186b6
hex4e15077d

1310001021 has 48 divisors (see below), whose sum is σ = 2297692800. Its totient is φ = 703188864.

The previous prime is 1310000981. The next prime is 1310001067. The reversal of 1310001021 is 1201000131.

It is not a de Polignac number, because 1310001021 - 222 = 1305806717 is a prime.

It is a super-2 number, since 2×13100010212 = 3432205350042084882, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 1310000994 and 1310001012.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1310001221) 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, 57910 + ... + 77288.

It is an arithmetic number, because the mean of its divisors is an integer number (47868600).

Almost surely, 21310001021 is an apocalyptic number.

It is an amenable number.

1310001021 is a deficient number, since it is larger than the sum of its proper divisors (987691779).

1310001021 is a wasteful number, since it uses less digits than its factorization.

1310001021 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19458 (or 19455 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 9.

The square root of 1310001021 is about 36193.9362462830. The cubic root of 1310001021 is about 1094.1844656286.

Adding to 1310001021 its reverse (1201000131), we get a palindrome (2511001152).

The spelling of 1310001021 in words is "one billion, three hundred ten million, one thousand, twenty-one".

Divisors: 1 3 7 9 21 29 37 63 87 111 203 259 261 333 609 777 1073 1827 2331 3219 7511 9657 19379 22533 58137 67599 135653 174411 406959 561991 717023 1220877 1685973 2151069 3933937 5019161 5057919 6453207 11801811 15057483 20793667 35405433 45172449 62381001 145555669 187143003 436667007 1310001021