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100302212101 = 713291572331039
BaseRepresentation
bin101110101101001111…
…0100100110000000101
3100120220020022022022111
41131122132210300011
53120404331241401
6114024520301021
710150403510230
oct1353236446005
9316806268274
10100302212101
11395a0a90573
1217533011771
1395c6303380
144bd724c417
152920a33e51
hex175a7a4c05

100302212101 has 64 divisors (see below), whose sum is σ = 129194956800. Its totient is φ = 75735668736.

The previous prime is 100302212039. The next prime is 100302212119. The reversal of 100302212101 is 101212203001.

It is not a de Polignac number, because 100302212101 - 29 = 100302211589 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (13).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100302212201) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 96536740 + ... + 96537778.

It is an arithmetic number, because the mean of its divisors is an integer number (2018671200).

Almost surely, 2100302212101 is an apocalyptic number.

It is an amenable number.

100302212101 is a deficient number, since it is larger than the sum of its proper divisors (28892744699).

100302212101 is a wasteful number, since it uses less digits than its factorization.

100302212101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1478.

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

Adding to 100302212101 its reverse (101212203001), we get a palindrome (201514415102).

The spelling of 100302212101 in words is "one hundred billion, three hundred two million, two hundred twelve thousand, one hundred one".

Divisors: 1 7 13 29 91 157 203 233 377 1039 1099 1631 2041 2639 3029 4553 6757 7273 13507 14287 21203 30131 31871 36581 47299 59189 87841 94549 163123 210917 242087 256067 391703 414323 475553 614887 1060849 1141861 1694609 2120599 2741921 3147131 3328871 4730567 7020523 7425943 13791037 14844193 22029917 33113969 38007659 49143661 61497371 91266799 96537259 266053613 430481597 494099567 638867593 1102222111 3458696969 7715554777 14328887443 100302212101