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10001303130120 = 2335139964962141
BaseRepresentation
bin1001000110001001110000…
…0111101101000000001000
31022102010010000022010021220
42101202130013231000020
52302330132100130440
633134311335402040
72051366420642421
oct221423407550010
938363100263256
1010001303130120
11320658a979a65
1211563a0223320
1357717111b133
142680cc226648
151252545508d0
hex9189c1ed008

10001303130120 has 128 divisors (see below), whose sum is σ = 30223383120000. Its totient is φ = 2647509995520.

The previous prime is 10001303130101. The next prime is 10001303130179. The reversal of 10001303130120 is 2103130310001.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 10001303130120.

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, 160914250 + ... + 160976390.

It is an arithmetic number, because the mean of its divisors is an integer number (236120180625).

Almost surely, 210001303130120 is an apocalyptic number.

10001303130120 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 10001303130120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15111691560000).

10001303130120 is an abundant number, since it is smaller than the sum of its proper divisors (20222079989880).

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

10001303130120 is a wasteful number, since it uses less digits than its factorization.

10001303130120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 71943 (or 71939 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 15.

Adding to 10001303130120 its reverse (2103130310001), we get a palindrome (12104433440121).

The spelling of 10001303130120 in words is "ten trillion, one billion, three hundred three million, one hundred thirty thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 139 278 417 556 695 834 1112 1390 1668 2085 2780 3336 4170 5560 8340 9649 16680 19298 28947 38596 48245 57894 62141 77192 96490 115788 124282 144735 186423 192980 231576 248564 289470 310705 372846 385960 497128 578940 621410 745692 932115 1157880 1242820 1341211 1491384 1864230 2485640 2682422 3728460 4023633 5364844 6706055 7456920 8047266 8637599 10729688 13412110 16094532 17275198 20118165 25912797 26824220 32189064 34550396 40236330 43187995 51825594 53648440 69100792 80472660 86375990 103651188 129563985 160945320 172751980 207302376 259127970 345503960 518255940 599598509 1036511880 1199197018 1798795527 2398394036 2997992545 3597591054 4796788072 5995985090 7195182108 8993977635 11991970180 14390364216 17987955270 23983940360 35975910540 71951821080 83344192751 166688385502 250032578253 333376771004 416720963755 500065156506 666753542008 833441927510 1000130313012 1250162891265 1666883855020 2000260626024 2500325782530 3333767710040 5000651565060 10001303130120