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100451404340 = 22572372770309
BaseRepresentation
bin101110110001101011…
…1101100101000110100
3100121021122001001120222
41131203113230220310
53121211024414330
6114051410113512
710154164564100
oct1354327545064
9317248031528
10100451404340
1139668220941
1217574b7b898
13961b1ab6c1
144c0cda6900
15292dba40e5
hex17635eca34

100451404340 has 72 divisors (see below), whose sum is σ = 252020641320. Its totient is φ = 33509645568.

The previous prime is 100451404337. The next prime is 100451404367. The reversal of 100451404340 is 43404154001.

It is a happy number.

100451404340 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 14910363664 + 85541040676 = 122108^2 + 292474^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1348895 + ... + 1421414.

It is an arithmetic number, because the mean of its divisors is an integer number (3500286685).

Almost surely, 2100451404340 is an apocalyptic number.

100451404340 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100451404340 is an abundant number, since it is smaller than the sum of its proper divisors (151569236980).

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

100451404340 is a wasteful number, since it uses less digits than its factorization.

100451404340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2770369 (or 2770360 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 26.

Adding to 100451404340 its reverse (43404154001), we get a palindrome (143855558341).

The spelling of 100451404340 in words is "one hundred billion, four hundred fifty-one million, four hundred four thousand, three hundred forty".

Divisors: 1 2 4 5 7 10 14 20 28 35 37 49 70 74 98 140 148 185 196 245 259 370 490 518 740 980 1036 1295 1813 2590 3626 5180 7252 9065 18130 36260 2770309 5540618 11081236 13851545 19392163 27703090 38784326 55406180 77568652 96960815 102501433 135745141 193921630 205002866 271490282 387843260 410005732 512507165 542980564 678725705 717510031 1025014330 1357451410 1435020062 2050028660 2714902820 2870040124 3587550155 5022570217 7175100310 10045140434 14350200620 20090280868 25112851085 50225702170 100451404340