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100377710196 = 223171992519851
BaseRepresentation
bin101110101111011111…
…0100100111001110100
3100121002111101000020020
41131132332210321310
53121033143211241
6114040214405140
710152311313261
oct1353676447164
9317074330206
10100377710196
113962a667395
12175543607b0
139608b485ba
144c032a2268
152927498b66
hex175efa4e74

100377710196 has 96 divisors (see below), whose sum is σ = 250256563200. Its totient is φ = 31204800000.

The previous prime is 100377710161. The next prime is 100377710197. The reversal of 100377710196 is 691017773001.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100377710197) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 10184671 + ... + 10194521.

It is an arithmetic number, because the mean of its divisors is an integer number (2606839200).

Almost surely, 2100377710196 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 100377710196, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125128281600).

100377710196 is an abundant number, since it is smaller than the sum of its proper divisors (149878853004).

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

100377710196 is a wasteful number, since it uses less digits than its factorization.

100377710196 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10325 (or 10323 counting only the distinct ones).

The product of its (nonzero) digits is 55566, while the sum is 42.

The spelling of 100377710196 in words is "one hundred billion, three hundred seventy-seven million, seven hundred ten thousand, one hundred ninety-six".

Divisors: 1 2 3 4 6 12 17 34 51 68 102 199 204 251 398 502 597 753 796 1004 1194 1506 2388 3012 3383 4267 6766 8534 9851 10149 12801 13532 17068 19702 20298 25602 29553 39404 40596 49949 51204 59106 99898 118212 149847 167467 199796 299694 334934 502401 599388 669868 849133 1004802 1698266 1960349 2009604 2472601 2547399 3396532 3920698 4945202 5094798 5881047 7417803 7841396 9890404 10189596 11762094 14835606 23524188 29671212 33325933 42034217 66651866 84068434 99977799 126102651 133303732 168136868 199955598 252205302 399911196 492047599 504410604 984095198 1476142797 1968190396 2952285594 5904571188 8364809183 16729618366 25094427549 33459236732 50188855098 100377710196