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1030401901 = 193159149199
BaseRepresentation
bin111101011010101…
…010111101101101
32122210212211200101
4331122222331231
54102240330101
6250125031101
734351162114
oct7532527555
92583784611
101030401901
114896a9221
122490b5491
13135623089
149abc2c7b
15606d9401
hex3d6aaf6d

1030401901 has 32 divisors (see below), whose sum is σ = 1152000000. Its totient is φ = 917801280.

The previous prime is 1030401887. The next prime is 1030401907. The reversal of 1030401901 is 1091040301.

It is a happy number.

It is a 3-Lehmer number, since φ(1030401901) divides (1030401901-1)3.

It is a cyclic number.

It is a Carmichael number.

It is not a de Polignac number, because 1030401901 - 219 = 1029877613 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (19).

It is a deceptive number, since it divides R1030401900.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1030401907) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5177800 + ... + 5177998.

It is an arithmetic number, because the mean of its divisors is an integer number (36000000).

It is a Poulet number, since it divides 21030401900-1.

Almost surely, 21030401901 is an apocalyptic number.

1030401901 is the 14356-th centered decagonal number.

It is an amenable number.

1030401901 is a deficient number, since it is larger than the sum of its proper divisors (121598099).

1030401901 is a wasteful number, since it uses less digits than its factorization.

1030401901 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 457.

The product of its (nonzero) digits is 108, while the sum is 19.

The square root of 1030401901 is about 32099.8738471041. The cubic root of 1030401901 is about 1010.0329698743.

The spelling of 1030401901 in words is "one billion, thirty million, four hundred one thousand, nine hundred one".

Divisors: 1 19 31 59 149 199 589 1121 1829 2831 3781 4619 6169 8791 11741 29651 34751 87761 117211 167029 223079 272521 363971 563369 919181 1749409 5177899 6915449 17464439 33238771 54231679 1030401901