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1026410152100 = 2252109220742667
BaseRepresentation
bin11101110111110101101…
…00000000000010100100
310122010100021210011022112
432323322310000002210
5113304041444331400
62103305403420152
7134104254225014
oct16737264000244
93563307704275
101026410152100
11366330855083
12146b12824658
1375a369c6688
143796dbc5c44
151ba75136835
hexeefad000a4

1026410152100 has 72 divisors (see below), whose sum is σ = 2248815233280. Its totient is φ = 406603566720.

The previous prime is 1026410152093. The next prime is 1026410152121. The reversal of 1026410152100 is 12510146201.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 24034967 + ... + 24077633.

Almost surely, 21026410152100 is an apocalyptic number.

1026410152100 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 1026410152100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1124407616640).

1026410152100 is an abundant number, since it is smaller than the sum of its proper divisors (1222405081180).

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

1026410152100 is a wasteful number, since it uses less digits than its factorization.

1026410152100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 44997 (or 44990 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 23.

Adding to 1026410152100 its reverse (12510146201), we get a palindrome (1038920298301).

The spelling of 1026410152100 in words is "one trillion, twenty-six billion, four hundred ten million, one hundred fifty-two thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 109 218 436 545 1090 2180 2207 2725 4414 5450 8828 10900 11035 22070 42667 44140 55175 85334 110350 170668 213335 220700 240563 426670 481126 853340 962252 1066675 1202815 2133350 2405630 4266700 4650703 4811260 6014075 9301406 12028150 18602812 23253515 24056300 46507030 93014060 94166069 116267575 188332138 232535150 376664276 465070300 470830345 941660690 1883321380 2354151725 4708303450 9416606900 10264101521 20528203042 41056406084 51320507605 102641015210 205282030420 256602538025 513205076050 1026410152100