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10120001004 = 223460151971
BaseRepresentation
bin10010110110011001…
…01111010111101100
3222010021120022120000
421123030233113230
5131211210013004
64352110424300
7505532406051
oct113314572754
928107508500
1010120001004
1143235275a3
121b65202090
13c53814999
146c007d028
153e36b3c39
hex25b32f5ec

10120001004 has 60 divisors (see below), whose sum is σ = 26500210968. Its totient is φ = 3367656000.

The previous prime is 10120000987. The next prime is 10120001033. The reversal of 10120001004 is 40010002101.

It is a happy number.

It is a super-2 number, since 2×101200010042 (a number of 21 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 168739 + ... + 220709.

Almost surely, 210120001004 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10120001004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13250105484).

10120001004 is an abundant number, since it is smaller than the sum of its proper divisors (16380209964).

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

10120001004 is a wasteful number, since it uses less digits than its factorization.

10120001004 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 52588 (or 52577 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

Adding to 10120001004 its reverse (40010002101), we get a palindrome (50130003105).

The spelling of 10120001004 in words is "ten billion, one hundred twenty million, one thousand, four".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 108 162 324 601 1202 1803 2404 3606 5409 7212 10818 16227 21636 32454 48681 51971 64908 97362 103942 155913 194724 207884 311826 467739 623652 935478 1403217 1870956 2806434 4209651 5612868 8419302 16838604 31234571 62469142 93703713 124938284 187407426 281111139 374814852 562222278 843333417 1124444556 1686666834 2530000251 3373333668 5060000502 10120001004