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101120022002010 = 235114764187101573
BaseRepresentation
bin10110111111011111010110…
…111111011011100101011010
3111021000222110012022101100110
4112333133112333123211122
5101223222301113031020
6555021521413145150
730204452261111424
oct2677372677334532
9437028405271313
10101120022002010
112a246840254670
12b4118a292b1b6
13445676703058b
141ad834148b814
15ba556cdd58e0
hex5bf7d6fdb95a

101120022002010 has 128 divisors (see below), whose sum is σ = 270390469054464. Its totient is φ = 23991761442560.

The previous prime is 101120022001991. The next prime is 101120022002011. The reversal of 101120022002010 is 10200220021101.

It is not an unprimeable number, because it can be changed into a prime (101120022002011) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 995489584 + ... + 995591156.

It is an arithmetic number, because the mean of its divisors is an integer number (2112425539488).

Almost surely, 2101120022002010 is an apocalyptic number.

101120022002010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

101120022002010 is an abundant number, since it is smaller than the sum of its proper divisors (169270447052454).

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

101120022002010 is a wasteful number, since it uses less digits than its factorization.

101120022002010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 165828.

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 101120022002010 its reverse (10200220021101), we get a palindrome (111320242023111).

The spelling of 101120022002010 in words is "one hundred one trillion, one hundred twenty billion, twenty-two million, two thousand, ten".

Divisors: 1 2 3 5 6 10 11 15 22 30 33 47 55 66 94 110 141 165 235 282 330 470 517 705 1034 1410 1551 2585 3102 5170 7755 15510 64187 101573 128374 192561 203146 304719 320935 385122 507865 609438 641870 706057 962805 1015730 1117303 1412114 1523595 1925610 2118171 2234606 3016789 3047190 3351909 3530285 4236342 4773931 5586515 6033578 6703818 7060570 9050367 9547862 10590855 11173030 14321793 15083945 16759545 18100734 21181710 23869655 28643586 30167890 33184679 33519090 45251835 47739310 52513241 66369358 71608965 90503670 99554037 105026482 143217930 157539723 165923395 199108074 262566205 315079446 331846790 497770185 525132410 787698615 995540370 1575397230 6519666151 13039332302 19558998453 32598330755 39117996906 65196661510 71716327661 97794992265 143432655322 195589984530 215148982983 306424309097 358581638305 430297965966 612848618194 717163276610 919272927291 1075744914915 1532121545485 1838545854582 2151489829830 3064243090970 3370667400067 4596364636455 6741334800134 9192729272910 10112002200201 16853337000335 20224004400402 33706674000670 50560011001005 101120022002010