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1021204002 = 2372132311617
BaseRepresentation
bin111100110111100…
…101011000100010
32122011120112112110
4330313211120202
54042412012002
6245155540150
734210043100
oct7467453042
92564515473
101021204002
11484496755
12245bba656
13133752630
14998aac70
155e9bde6c
hex3cde5622

1021204002 has 96 divisors (see below), whose sum is σ = 2670095232. Its totient is φ = 257596416.

The previous prime is 1021203983. The next prime is 1021204003. The reversal of 1021204002 is 2004021201.

It is a super-2 number, since 2×10212040022 = 2085715227401632008, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1021204003) 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, 82098 + ... + 93714.

It is an arithmetic number, because the mean of its divisors is an integer number (27813492).

Almost surely, 21021204002 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1021204002, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1335047616).

1021204002 is an abundant number, since it is smaller than the sum of its proper divisors (1648891230).

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

1021204002 is a wasteful number, since it uses less digits than its factorization.

1021204002 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11672 (or 11665 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

The square root of 1021204002 is about 31956.2826686710. The cubic root of 1021204002 is about 1007.0186243308.

Adding to 1021204002 its reverse (2004021201), we get a palindrome (3025225203).

The spelling of 1021204002 in words is "one billion, twenty-one million, two hundred four thousand, two".

Divisors: 1 2 3 6 7 13 14 21 23 26 39 42 46 49 69 78 91 98 138 147 161 182 273 294 299 322 483 546 598 637 897 966 1127 1274 1794 1911 2093 2254 3381 3822 4186 6279 6762 11617 12558 14651 23234 29302 34851 43953 69702 81319 87906 151021 162638 243957 267191 302042 453063 487914 534382 569233 801573 906126 1057147 1138466 1603146 1707699 1870337 2114294 3171441 3415398 3473483 3740674 5611011 6342882 6946966 7400029 10420449 11222022 13092359 14800058 20840898 22200087 24314381 26184718 39277077 44400174 48628762 72943143 78554154 145886286 170200667 340401334 510602001 1021204002