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2130636121520 = 245173898834561
BaseRepresentation
bin11111000000010011110…
…011110010010110110000
321112200112200202102021012
4133000103303302112300
5234402020321342040
64310444542250052
7306635102134064
oct37002363622660
97480480672235
102130636121520
117516635aa485
122a4b21886928
13125bc2170b6a
14751a2625aa4
153a651ae6865
hex1f013cf25b0

2130636121520 has 160 divisors (see below), whose sum is σ = 5265718061760. Its totient is φ = 798978539520.

The previous prime is 2130636121513. The next prime is 2130636121547. The reversal of 2130636121520 is 251216360312.

It is a happy number.

It is a super-2 number, since 2×21306361215202 (a number of 25 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 467140040 + ... + 467144600.

It is an arithmetic number, because the mean of its divisors is an integer number (32910737886).

Almost surely, 22130636121520 is an apocalyptic number.

2130636121520 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 2130636121520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2632859030880).

2130636121520 is an abundant number, since it is smaller than the sum of its proper divisors (3135081940240).

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

2130636121520 is a wasteful number, since it uses less digits than its factorization.

2130636121520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5863 (or 5857 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 32.

The spelling of 2130636121520 in words is "two trillion, one hundred thirty billion, six hundred thirty-six million, one hundred twenty-one thousand, five hundred twenty".

Divisors: 1 2 4 5 8 10 16 17 20 34 40 68 80 85 136 170 272 340 389 680 778 883 1360 1556 1766 1945 3112 3532 3890 4415 4561 6224 6613 7064 7780 8830 9122 13226 14128 15011 15560 17660 18244 22805 26452 30022 31120 33065 35320 36488 45610 52904 60044 66130 70640 72976 75055 77537 91220 105808 120088 132260 150110 155074 182440 240176 264520 300220 310148 343487 364880 387685 529040 600440 620296 686974 775370 1200880 1240592 1373948 1550740 1717435 1774229 2747896 3101480 3434870 3548458 4027363 5495792 5839279 6202960 6869740 7096916 8054726 8871145 11678558 13739480 14193832 16109452 17742290 20136815 23357116 27478960 28387664 29196395 30161893 32218904 35484580 40273630 46714232 58392790 60323786 64437808 68465171 70969160 80547260 93428464 116785580 120647572 136930342 141938320 150809465 161094520 233571160 241295144 273860684 301618930 322189040 342325855 467142320 482590288 547721368 603237860 684651710 1095442736 1206475720 1369303420 1566644207 2412951440 2738606840 3133288414 5477213680 6266576828 7833221035 12533153656 15666442070 25066307312 26632951519 31332884140 53265903038 62665768280 106531806076 125331536560 133164757595 213063612152 266329515190 426127224304 532659030380 1065318060760 2130636121520