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99090909100 = 225229211310427
BaseRepresentation
bin101110001001001000…
…1110100011110101100
3100110202211000201222101
41130102101310132230
53110414233042400
6113304410024444
710105364554501
oct1342221643654
9313684021871
1099090909100
113902a264707
1217255418124
139462382231
144b204194a8
15289e51456a
hex17124747ac

99090909100 has 108 divisors (see below), whose sum is σ = 224690009544. Its totient is φ = 37927285760.

The previous prime is 99090909077. The next prime is 99090909101. The reversal of 99090909100 is 190909099.

It is not an unprimeable number, because it can be changed into a prime (99090909101) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 9498087 + ... + 9508513.

Almost surely, 299090909100 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 99090909100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112345004772).

99090909100 is an abundant number, since it is smaller than the sum of its proper divisors (125599100444).

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

99090909100 is a wasteful number, since it uses less digits than its factorization.

99090909100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10612 (or 10576 counting only the distinct ones).

The product of its (nonzero) digits is 59049, while the sum is 46.

The spelling of 99090909100 in words is "ninety-nine billion, ninety million, nine hundred nine thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 29 50 58 100 113 116 145 226 290 452 565 580 725 841 1130 1450 1682 2260 2825 2900 3277 3364 4205 5650 6554 8410 10427 11300 13108 16385 16820 20854 21025 32770 41708 42050 52135 65540 81925 84100 95033 104270 163850 190066 208540 260675 302383 327700 380132 475165 521350 604766 950330 1042700 1178251 1209532 1511915 1900660 2356502 2375825 3023830 4713004 4751650 5891255 6047660 7559575 8769107 9503300 11782510 15119150 17538214 23565020 29456275 30238300 34169279 35076428 43845535 58912550 68338558 87691070 117825100 136677116 170846395 175382140 219227675 341692790 438455350 683385580 854231975 876910700 990909091 1708463950 1981818182 3416927900 3963636364 4954545455 9909090910 19818181820 24772727275 49545454550 99090909100