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2010715919340 = 2235171032185813
BaseRepresentation
bin11101010000101000000…
…000100001001111101100
321010020000020201221210120
4131100220000201033230
5230420421233404330
64135413220204540
7265161262213302
oct35205000411754
97106006657716
102010715919340
11705815798677
12285834839750
131177c0675b4b
146d467b32272
1537483b54c10
hex1d4280213ec

2010715919340 has 144 divisors (see below), whose sum is σ = 6019651155168. Its totient is φ = 499748063232.

The previous prime is 2010715919327. The next prime is 2010715919353. The reversal of 2010715919340 is 439195170102.

It is an interprime number because it is at equal distance from previous prime (2010715919327) and next prime (2010715919353).

It is a junction number, because it is equal to n+sod(n) for n = 2010715919292 and 2010715919301.

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, 10728274 + ... + 10914086.

It is an arithmetic number, because the mean of its divisors is an integer number (41803133022).

Almost surely, 22010715919340 is an apocalyptic number.

2010715919340 is a gapful number since it is divisible by the number (20) 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 2010715919340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3009825577584).

2010715919340 is an abundant number, since it is smaller than the sum of its proper divisors (4008935235828).

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

2010715919340 is a wasteful number, since it uses less digits than its factorization.

2010715919340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 186048 (or 185943 counting only the distinct ones).

The product of its (nonzero) digits is 68040, while the sum is 42.

The spelling of 2010715919340 in words is "two trillion, ten billion, seven hundred fifteen million, nine hundred nineteen thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 17 20 30 34 51 60 68 85 102 103 170 204 206 255 309 340 412 510 515 618 1020 1030 1236 1545 1751 2060 3090 3502 5253 6180 7004 8755 10506 10609 17510 21012 21218 26265 31827 35020 42436 52530 53045 63654 105060 106090 127308 159135 180353 185813 212180 318270 360706 371626 541059 557439 636540 721412 743252 901765 929065 1082118 1114878 1803530 1858130 2164236 2229756 2705295 2787195 3158821 3607060 3716260 5410590 5574390 6317642 9476463 10821180 11148780 12635284 15794105 18952926 19138739 31588210 37905852 38277478 47382315 57416217 63176420 76554956 94764630 95693695 114832434 189529260 191387390 229664868 287081085 325358563 382774780 574162170 650717126 976075689 1148324340 1301434252 1626792815 1952151378 1971290117 3253585630 3904302756 3942580234 4880378445 5913870351 6507171260 7885160468 9760756890 9856450585 11827740702 19521513780 19712901170 23655481404 29569351755 33511931989 39425802340 59138703510 67023863978 100535795967 118277407020 134047727956 167559659945 201071591934 335119319890 402143183868 502678979835 670238639780 1005357959670 2010715919340