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5506013100 = 2235276739133
BaseRepresentation
bin1010010000010111…
…10001011110101100
3112012201112110001010
411020023301132230
542234014404400
62310204545220
7253305224220
oct51013613654
915181473033
105506013100
112376001155
121097b52210
1369993a923
143a3380780
152235ab450
hex1482f17ac

5506013100 has 144 divisors (see below), whose sum is σ = 18478761728. Its totient is φ = 1239701760.

The previous prime is 5506013099. The next prime is 5506013143. The reversal of 5506013100 is 13106055.

It is a happy number.

It is a super-2 number, since 2×55060131002 = 60632360514743220000, which contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 121134 + ... + 160266.

Almost surely, 25506013100 is an apocalyptic number.

5506013100 is a gapful number since it is divisible by the number (50) 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 5506013100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9239380864).

5506013100 is an abundant number, since it is smaller than the sum of its proper divisors (12972748628).

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

5506013100 is a wasteful number, since it uses less digits than its factorization.

5506013100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 39224 (or 39217 counting only the distinct ones).

The product of its (nonzero) digits is 450, while the sum is 21.

The square root of 5506013100 is about 74202.5141083508. The cubic root of 5506013100 is about 1765.8172163303.

Adding to 5506013100 its reverse (13106055), we get a palindrome (5519119155).

The spelling of 5506013100 in words is "five billion, five hundred six million, thirteen thousand, one hundred".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 25 28 30 35 42 50 60 67 70 75 84 100 105 134 140 150 175 201 210 268 300 335 350 402 420 469 525 670 700 804 938 1005 1050 1340 1407 1675 1876 2010 2100 2345 2814 3350 4020 4690 5025 5628 6700 7035 9380 10050 11725 14070 20100 23450 28140 35175 39133 46900 70350 78266 117399 140700 156532 195665 234798 273931 391330 469596 547862 586995 782660 821793 978325 1095724 1173990 1369655 1643586 1956650 2347980 2621911 2739310 2934975 3287172 3913300 4108965 5243822 5478620 5869950 6848275 7865733 8217930 10487644 11739900 13109555 13696550 15731466 16435860 18353377 20544825 26219110 27393100 31462932 36706754 39328665 41089650 52438220 55060131 65547775 73413508 78657330 82179300 91766885 110120262 131095550 157314660 183533770 196643325 220240524 262191100 275300655 367067540 393286650 458834425 550601310 786573300 917668850 1101202620 1376503275 1835337700 2753006550 5506013100