Search a number
-
+
400102670100 = 223527190525081
BaseRepresentation
bin1011101001001111111…
…10100011111100010100
31102020201211202112220010
411310213332203330110
523023402240420400
6503445444440220
740622626403520
oct5644776437424
91366654675803
10400102670100
11144756587a21
12656616a9070
132b9639a8293
1415517a8ad80
15a61a929450
hex5d27fa3f14

400102670100 has 72 divisors (see below), whose sum is σ = 1323006169408. Its totient is φ = 91452038400.

The previous prime is 400102670063. The next prime is 400102670147. The reversal of 400102670100 is 1076201004.

It is a super-2 number, since 2×4001026701002 (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 95260441 + ... + 95264640.

Almost surely, 2400102670100 is an apocalyptic number.

It is an amenable number.

400102670100 is an abundant number, since it is smaller than the sum of its proper divisors (922903499308).

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

400102670100 is a wasteful number, since it uses less digits than its factorization.

400102670100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 190525105 (or 190525098 counting only the distinct ones).

The product of its (nonzero) digits is 336, while the sum is 21.

Adding to 400102670100 its reverse (1076201004), we get a palindrome (401178871104).

The spelling of 400102670100 in words is "four hundred billion, one hundred two million, six hundred seventy 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 1050 2100 190525081 381050162 571575243 762100324 952625405 1143150486 1333675567 1905250810 2286300972 2667351134 2857876215 3810501620 4001026701 4763127025 5334702268 5715752430 6668377835 8002053402 9526254050 11431504860 13336755670 14289381075 16004106804 19052508100 20005133505 26673511340 28578762150 33341889175 40010267010 57157524300 66683778350 80020534020 100025667525 133367556700 200051335050 400102670100