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3422537000100 = 223252616672
BaseRepresentation
bin110001110011011111000…
…110100010010010100100
3110010012011111011212120100
4301303133012202102210
5422033323433000400
611140143005504100
7502161441332541
oct61633706422244
913105144155510
103422537000100
1110aa542a02899
12473388872030
131ba98932b55a
14bb91a2a3bc8
155e064992100
hex31cdf1a24a4

3422537000100 has 81 divisors (see below), whose sum is σ = 10727926051297. Its totient is φ = 912661733280.

The previous prime is 3422537000093. The next prime is 3422537000107. The reversal of 3422537000100 is 10007352243.

The square root of 3422537000100 is 1850010.

It is a perfect power (a square), and thus also a powerful number.

3422537000100 is a `hidden beast` number, since 3 + 4 + 22 + 537 + 0 + 0 + 0 + 100 = 666.

It is an interprime number because it is at equal distance from previous prime (3422537000093) and next prime (3422537000107).

It can be written as a sum of positive squares in only one way, i.e., 1232113320036 + 2190423680064 = 1110006^2 + 1480008^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (3422537000107) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 55469467 + ... + 55531133.

Almost surely, 23422537000100 is an apocalyptic number.

3422537000100 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

3422537000100 is the 1850010-th square number.

It is an amenable number.

3422537000100 is an abundant number, since it is smaller than the sum of its proper divisors (7305389051197).

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

3422537000100 is an frugal number, since it uses more digits than its factorization.

3422537000100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 123354 (or 61677 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 27.

The spelling of 3422537000100 in words is "three trillion, four hundred twenty-two billion, five hundred thirty-seven million, one hundred", and thus it is an aban number.

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 25 30 36 45 50 60 75 90 100 150 180 225 300 450 900 61667 123334 185001 246668 308335 370002 555003 616670 740004 925005 1110006 1233340 1541675 1850010 2220012 2775015 3083350 3700020 4625025 5550030 6166700 9250050 11100060 13875075 18500100 27750150 55500300 3802818889 7605637778 11408456667 15211275556 19014094445 22816913334 34225370001 38028188890 45633826668 57042283335 68450740002 76056377780 95070472225 114084566670 136901480004 171126850005 190140944450 228169133340 285211416675 342253700010 380281888900 570422833350 684507400020 855634250025 1140845666700 1711268500050 3422537000100