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10141030620 = 22325731259627
BaseRepresentation
bin10010111000111001…
…11101100011011100
3222011202010201202200
421130130331203130
5131232100434440
64354141251500
7506206223640
oct113434754334
928152121680
1010141030620
114334390446
121b70263b90
13c57c98946
146c2b94c20
153e5469c30
hex25c73d8dc

10141030620 has 144 divisors (see below), whose sum is σ = 36289763328. Its totient is φ = 2243168640.

The previous prime is 10141030597. The next prime is 10141030639. The reversal of 10141030620 is 2603014101.

It is a happy number.

10141030620 is a `hidden beast` number, since 1 + 0 + 1 + 4 + 10 + 30 + 620 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 10141030593 and 10141030602.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 90754 + ... + 168873.

Almost surely, 210141030620 is an apocalyptic number.

10141030620 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10141030620 is an abundant number, since it is smaller than the sum of its proper divisors (26148732708).

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

10141030620 is a wasteful number, since it uses less digits than its factorization.

10141030620 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 259680 (or 259675 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 10141030620 its reverse (2603014101), we get a palindrome (12744044721).

The spelling of 10141030620 in words is "ten billion, one hundred forty-one million, thirty thousand, six hundred twenty".

Divisors: 1 2 3 4 5 6 7 9 10 12 14 15 18 20 21 28 30 31 35 36 42 45 60 62 63 70 84 90 93 105 124 126 140 155 180 186 210 217 252 279 310 315 372 420 434 465 558 620 630 651 868 930 1085 1116 1260 1302 1395 1860 1953 2170 2604 2790 3255 3906 4340 5580 6510 7812 9765 13020 19530 39060 259627 519254 778881 1038508 1298135 1557762 1817389 2336643 2596270 3115524 3634778 3894405 4673286 5192540 5452167 7269556 7788810 8048437 9086945 9346572 10904334 11683215 15577620 16096874 16356501 18173890 21808668 23366430 24145311 27260835 32193748 32713002 36347780 40242185 46732860 48290622 54521670 56339059 65426004 72435933 80484370 81782505 96581244 109043340 112678118 120726555 144871866 160968740 163565010 169017177 225356236 241453110 281695295 289743732 327130020 338034354 362179665 482906220 507051531 563390590 676068708 724359330 845085885 1014103062 1126781180 1448718660 1690171770 2028206124 2535257655 3380343540 5070515310 10141030620