Search a number
-
+
1003200101004 = 2231930714332249
BaseRepresentation
bin11101001100100110110…
…00101011101010001100
310112220102201222101210110
432212103120223222030
5112414023211213004
62044510323440020
7132323143106403
oct16462330535214
93486381871713
101003200101004
11357500338172
12142515826010
13737a827132a
14367ab45a63a
151b167684589
hexe99362ba8c

1003200101004 has 48 divisors (see below), whose sum is σ = 2472026480000. Its totient is φ = 315768087936.

The previous prime is 1003200100979. The next prime is 1003200101021. The reversal of 1003200101004 is 4001010023001.

It is a happy number.

1003200101004 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 (12).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7096129 + ... + 7236120.

Almost surely, 21003200101004 is an apocalyptic number.

It is an amenable number.

1003200101004 is an abundant number, since it is smaller than the sum of its proper divisors (1468826378996).

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

1003200101004 is a wasteful number, since it uses less digits than its factorization.

1003200101004 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14332582 (or 14332580 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

Adding to 1003200101004 its reverse (4001010023001), we get a palindrome (5004210124005).

The spelling of 1003200101004 in words is "one trillion, three billion, two hundred million, one hundred one thousand, four".

Divisors: 1 2 3 4 6 12 19 38 57 76 114 228 307 614 921 1228 1842 3684 5833 11666 17499 23332 34998 69996 14332249 28664498 42996747 57328996 85993494 171986988 272312731 544625462 816938193 1089250924 1633876386 3267752772 4400000443 8800000886 13200001329 17600001772 26400002658 52800005316 83600008417 167200016834 250800025251 334400033668 501600050502 1003200101004