Search a number
-
+
1001200100020 = 2252931251221849
BaseRepresentation
bin11101001000111000010…
…11010010001010110100
310112201021100121211012221
432210130023102022310
5112400424211200040
62043540040452124
7132222446301631
oct16443413221264
93481240554187
101001200100020
1135667439a89a
12142057a7a044
1373549ac66b3
143665b9a1188
151b09bcc174a
hexe91c2d22b4

1001200100020 has 96 divisors (see below), whose sum is σ = 2254137984000. Its totient is φ = 372704640000.

The previous prime is 1001200100011. The next prime is 1001200100023. The reversal of 1001200100020 is 200010021001.

It is a junction number, because it is equal to n+sod(n) for n = 1001200099976 and 1001200100012.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1001200100023) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4402056 + ... + 4623904.

It is an arithmetic number, because the mean of its divisors is an integer number (23480604000).

Almost surely, 21001200100020 is an apocalyptic number.

1001200100020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1001200100020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1127068992000).

1001200100020 is an abundant number, since it is smaller than the sum of its proper divisors (1252937883980).

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

1001200100020 is a wasteful number, since it uses less digits than its factorization.

1001200100020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 222169 (or 222167 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 7.

Adding to 1001200100020 its reverse (200010021001), we get a palindrome (1201210121021).

The spelling of 1001200100020 in words is "one trillion, one billion, two hundred million, one hundred thousand, twenty".

Divisors: 1 2 4 5 10 20 29 31 58 62 116 124 145 155 251 290 310 502 580 620 899 1004 1255 1798 2510 3596 4495 5020 7279 7781 8990 14558 15562 17980 29116 31124 36395 38905 72790 77810 145580 155620 221849 225649 443698 451298 887396 902596 1109245 1128245 2218490 2256490 4436980 4512980 6433621 6877319 12867242 13754638 25734484 27509276 32168105 34386595 55684099 64336210 68773190 111368198 128672420 137546380 199442251 222736396 278420495 398884502 556840990 797769004 997211255 1113681980 1614838871 1726207069 1994422510 3229677742 3452414138 3988845020 6459355484 6904828276 8074194355 8631035345 16148388710 17262070690 32296777420 34524141380 50060005001 100120010002 200240020004 250300025005 500600050010 1001200100020