Search a number
-
+
1001203231032 = 233254725421573
BaseRepresentation
bin11101001000111000101…
…11001110100100111000
310112201021120111220011100
432210130113032210320
5112400431011343112
62043540231531400
7132222515022144
oct16443427164470
93481246456140
101001203231032
11356676139204
12142058b29b60
137354a651874
143665c178224
151b09c1de2dc
hexe91c5ce938

1001203231032 has 48 divisors (see below), whose sum is σ = 2716549397640. Its totient is φ = 333124279488.

The previous prime is 1001203231031. The next prime is 1001203231097. The reversal of 1001203231032 is 2301323021001.

1001203231032 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×10012032310323 (a number of 37 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 1001203230996 and 1001203231014.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1001203231031) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 12671403 + ... + 12750170.

Almost surely, 21001203231032 is an apocalyptic number.

1001203231032 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1001203231032 is an abundant number, since it is smaller than the sum of its proper divisors (1715346166608).

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

1001203231032 is a wasteful number, since it uses less digits than its factorization.

1001203231032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25422132 (or 25422125 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 1001203231032 its reverse (2301323021001), we get a palindrome (3302526252033).

The spelling of 1001203231032 in words is "one trillion, one billion, two hundred three million, two hundred thirty-one thousand, thirty-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 547 1094 1641 2188 3282 4376 4923 6564 9846 13128 19692 39384 25421573 50843146 76264719 101686292 152529438 203372584 228794157 305058876 457588314 610117752 915176628 1830353256 13905600431 27811200862 41716801293 55622401724 83433602586 111244803448 125150403879 166867205172 250300807758 333734410344 500601615516 1001203231032