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10060110505000 = 235428113615261
BaseRepresentation
bin1001001001100100110101…
…0100000010010000101000
31022121201220101202021221101
42102121031110002100220
52304311101242130000
633221315001451144
72055550626246103
oct222311524022050
938551811667841
1010060110505000
113229518128126
1211658727a0ab4
1357c88376688a
1426acaa54973a
15126a47222e6a
hex9264d502428

10060110505000 has 160 divisors (see below), whose sum is σ = 23676600843720. Its totient is φ = 4006016000000.

The previous prime is 10060110504937. The next prime is 10060110505141. The reversal of 10060110505000 is 50501106001.

It can be written as a sum of positive squares in 20 ways, for example, as 3581018800164 + 6479091704836 = 1892358^2 + 2545406^2 .

It is a super-2 number, since 2×100601105050002 (a number of 27 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1912202370 + ... + 1912207630.

Almost surely, 210060110505000 is an apocalyptic number.

10060110505000 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 10060110505000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11838300421860).

10060110505000 is an abundant number, since it is smaller than the sum of its proper divisors (13616490338720).

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

10060110505000 is a wasteful number, since it uses less digits than its factorization.

10060110505000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6929 (or 6910 counting only the distinct ones).

The product of its (nonzero) digits is 150, while the sum is 19.

The spelling of 10060110505000 in words is "ten trillion, sixty billion, one hundred ten million, five hundred five thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 125 200 250 281 500 562 625 1000 1124 1250 1361 1405 2248 2500 2722 2810 5000 5261 5444 5620 6805 7025 10522 10888 11240 13610 14050 21044 26305 27220 28100 34025 35125 42088 52610 54440 56200 68050 70250 105220 131525 136100 140500 170125 175625 210440 263050 272200 281000 340250 351250 382441 526100 657625 680500 702500 764882 850625 1052200 1315250 1361000 1405000 1478341 1529764 1701250 1912205 2630500 2956682 3059528 3288125 3402500 3824410 5261000 5913364 6576250 6805000 7160221 7391705 7648820 9561025 11826728 13152500 14320442 14783410 15297640 19122050 26305000 28640884 29566820 35801105 36958525 38244100 47805125 57281768 59133640 71602210 73917050 76488200 95610250 143204420 147834100 179005525 184792625 191220500 239025625 286408840 295668200 358011050 369585250 382441000 478051250 716022100 739170500 895027625 923963125 956102500 1432044200 1478341000 1790055250 1847926250 1912205000 2012022101 3580110500 3695852500 4024044202 4475138125 7160221000 7391705000 8048088404 8950276250 10060110505 16096176808 17900552500 20120221010 35801105000 40240442020 50300552525 80480884040 100601105050 201202210100 251502762625 402404420200 503005525250 1006011050500 1257513813125 2012022101000 2515027626250 5030055252500 10060110505000