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103020001133322 = 237131712787392923
BaseRepresentation
bin10111011011001000110110…
…100100101000001100001010
3111111202121122000020122121110
4113123020312210220030022
5102000334430242231242
61003034422443551150
730461643444213360
oct2733106644501412
9444677560218543
10103020001133322
112a90959aa063a9
12b679b71b2b4b6
13456398a659580
141b622a2207630
15bd9bbee0539c
hex5db23692830a

103020001133322 has 128 divisors (see below), whose sum is σ = 270618831028224. Its totient is φ = 25370514828288.

The previous prime is 103020001133293. The next prime is 103020001133369. The reversal of 103020001133322 is 223331100020301.

It is a super-2 number, since 2×1030200011333222 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

103020001133322 is a modest number, since divided by 1133322 gives 10302 as remainder.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 42517648 + ... + 44875275.

It is an arithmetic number, because the mean of its divisors is an integer number (2114209617408).

Almost surely, 2103020001133322 is an apocalyptic number.

103020001133322 is an abundant number, since it is smaller than the sum of its proper divisors (167598829894902).

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

103020001133322 is a wasteful number, since it uses less digits than its factorization.

103020001133322 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 87393092.

The product of its (nonzero) digits is 648, while the sum is 21.

Adding to 103020001133322 its reverse (223331100020301), we get a palindrome (326351101153623).

The spelling of 103020001133322 in words is "one hundred three trillion, twenty billion, one million, one hundred thirty-three thousand, three hundred twenty-two".

Divisors: 1 2 3 6 7 13 14 17 21 26 34 39 42 51 78 91 102 119 127 182 221 238 254 273 357 381 442 546 663 714 762 889 1326 1547 1651 1778 2159 2667 3094 3302 4318 4641 4953 5334 6477 9282 9906 11557 12954 15113 23114 28067 30226 34671 45339 56134 69342 84201 90678 168402 196469 392938 589407 1178814 87392923 174785846 262178769 524357538 611750461 1136107999 1223500922 1485679691 1835251383 2272215998 2971359382 3408323997 3670502766 4457039073 6816647994 7952755993 8914078146 10399757837 11098901221 15905511986 19313835983 20799515674 22197802442 23858267979 31199273511 33296703663 38627671966 47716535958 57941507949 62398547022 66593407326 77692308547 115883015898 135196851881 144285715873 155384617094 188681320757 233076925641 270393703762 288571431746 377362641514 405590555643 432857147619 466153851282 566043962271 811181111286 865714295238 1010000011111 1132087924542 1320769245299 2020000022222 2452857169841 2641538490598 3030000033333 3962307735897 4905714339682 6060000066666 7358571509523 7924615471794 14717143019046 17170000188887 34340000377774 51510000566661 103020001133322