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1001012200132 = 227175379502261
BaseRepresentation
bin11101001000100001111…
…10100000001011000100
310112200210021001112000211
432210100332200023010
5112400033110401012
62043505245245204
7132215005211560
oct16442076401304
93480707045024
101001012200132
1135658832192a
12142004b63804
1373519bb7b29
1436640a4c6a0
151b08a5576a7
hexe910fa02c4

1001012200132 has 96 divisors (see below), whose sum is σ = 2187130014720. Its totient is φ = 391135979520.

The previous prime is 1001012200109. The next prime is 1001012200147. The reversal of 1001012200132 is 2310022101001.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1741882 + ... + 2244142.

It is an arithmetic number, because the mean of its divisors is an integer number (22782604320).

Almost surely, 21001012200132 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 1001012200132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1093565007360).

1001012200132 is an abundant number, since it is smaller than the sum of its proper divisors (1186117814588).

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

1001012200132 is a wasteful number, since it uses less digits than its factorization.

1001012200132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 502421 (or 502419 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 13.

Adding to 1001012200132 its reverse (2310022101001), we get a palindrome (3311034301133).

The spelling of 1001012200132 in words is "one trillion, one billion, twelve million, two hundred thousand, one hundred thirty-two".

Divisors: 1 2 4 7 14 17 28 34 53 68 79 106 119 158 212 238 316 371 476 553 742 901 1106 1343 1484 1802 2212 2686 3604 4187 5372 6307 8374 9401 12614 16748 18802 25228 29309 37604 58618 71179 117236 142358 284716 498253 502261 996506 1004522 1993012 2009044 3515827 7031654 8538437 14063308 17076874 26619833 34153748 39678619 53239666 59769059 79357238 106479332 119538118 158714476 186338831 239076236 277750333 372677662 452537161 555500666 674536523 745355324 905074322 1111001332 1349073046 1810148644 2102966807 2698146092 3167760127 4205933614 4721755661 6335520254 8411867228 9443511322 12671040508 14720767649 18887022644 29441535298 35750435719 58883070596 71500871438 143001742876 250253050033 500506100066 1001012200132