Search a number
-
+
1691313332100 = 2235271031781171
BaseRepresentation
bin11000100111001010001…
…000010101111110000100
312222200120112102101001020
4120213022020111332010
5210202302203111400
63332551214231140
7233123215056120
oct30471210257604
95880515371036
101691313332100
115a2311313407
122339554b54b0
13c364ab706b2
145bc07bba580
152dedcdd62a0
hex189ca215f84

1691313332100 has 144 divisors (see below), whose sum is σ = 5598041035776. Its totient is φ = 386210448000.

The previous prime is 1691313332099. The next prime is 1691313332101. The reversal of 1691313332100 is 12333131961.

It is an interprime number because it is at equal distance from previous prime (1691313332099) and next prime (1691313332101).

It is not an unprimeable number, because it can be changed into a prime (1691313332101) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1774515 + ... + 2555685.

Almost surely, 21691313332100 is an apocalyptic number.

1691313332100 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 1691313332100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2799020517888).

1691313332100 is an abundant number, since it is smaller than the sum of its proper divisors (3906727703676).

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

1691313332100 is a wasteful number, since it uses less digits than its factorization.

1691313332100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 782226 (or 782219 counting only the distinct ones).

The product of its (nonzero) digits is 8748, while the sum is 33.

The spelling of 1691313332100 in words is "one trillion, six hundred ninety-one billion, three hundred thirteen million, three hundred thirty-two thousand, one hundred".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 25 28 30 35 42 50 60 70 75 84 100 105 140 150 175 210 300 350 420 525 700 1031 1050 2062 2100 3093 4124 5155 6186 7217 10310 12372 14434 15465 20620 21651 25775 28868 30930 36085 43302 51550 61860 72170 77325 86604 103100 108255 144340 154650 180425 216510 309300 360850 433020 541275 721700 781171 1082550 1562342 2165100 2343513 3124684 3905855 4687026 5468197 7811710 9374052 10936394 11717565 15623420 16404591 19529275 21872788 23435130 27340985 32809182 39058550 46870260 54681970 58587825 65618364 78117100 82022955 109363940 117175650 136704925 164045910 234351300 273409850 328091820 410114775 546819700 805387301 820229550 1610774602 1640459100 2416161903 3221549204 4026936505 4832323806 5637711107 8053873010 9664647612 11275422214 12080809515 16107746020 16913133321 20134682525 22550844428 24161619030 28188555535 33826266642 40269365050 48323238060 56377111070 60404047575 67652533284 80538730100 84565666605 112754222140 120808095150 140942777675 169131333210 241616190300 281885555350 338262666420 422828333025 563771110700 845656666050 1691313332100