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141161020 = 225711213641
BaseRepresentation
bin10000110100111…
…11001000111100
3100211121201111221
420122133020330
5242114123040
622001323124
73332564110
oct1032371074
9324551457
10141161020
1172755400
123b3364a4
1323325940
1414a67740
15c5d574a
hex869f23c

141161020 has 144 divisors (see below), whose sum is σ = 401655744. Its totient is φ = 40550400.

The previous prime is 141161017. The next prime is 141161023. The reversal of 141161020 is 20161141.

141161020 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (141161017) and next prime (141161023).

It is a junction number, because it is equal to n+sod(n) for n = 141160985 and 141161003.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (141161023) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 219900 + ... + 220540.

It is an arithmetic number, because the mean of its divisors is an integer number (2789276).

Almost surely, 2141161020 is an apocalyptic number.

141161020 is a gapful number since it is divisible by the number (10) 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 141161020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (200827872).

141161020 is an abundant number, since it is smaller than the sum of its proper divisors (260494724).

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

141161020 is a wasteful number, since it uses less digits than its factorization.

141161020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 692 (or 679 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 16.

The square root of 141161020 is about 11881.1203175458. The cubic root of 141161020 is about 520.6808389539.

It can be divided in two parts, 141 and 161020, that added together give a palindrome (161161).

The spelling of 141161020 in words is "one hundred forty-one million, one hundred sixty-one thousand, twenty".

Divisors: 1 2 4 5 7 10 11 13 14 20 22 26 28 35 44 52 55 65 70 77 91 110 121 130 140 143 154 182 220 242 260 286 308 364 385 455 484 572 605 641 715 770 847 910 1001 1210 1282 1430 1540 1573 1694 1820 2002 2420 2564 2860 3146 3205 3388 4004 4235 4487 5005 6292 6410 7051 7865 8333 8470 8974 10010 11011 12820 14102 15730 16666 16940 17948 20020 22022 22435 28204 31460 33332 35255 41665 44044 44870 49357 55055 58331 70510 77561 83330 89740 91663 98714 110110 116662 141020 155122 166660 183326 197428 220220 233324 246785 291655 310244 366652 387805 458315 493570 542927 583310 641641 775610 916630 987140 1008293 1085854 1166620 1283282 1551220 1833260 2016586 2171708 2566564 2714635 3208205 4033172 5041465 5429270 6416410 7058051 10082930 10858540 12832820 14116102 20165860 28232204 35290255 70580510 141161020