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2120131022010 = 2351771149339217
BaseRepresentation
bin11110110110100001101…
…010000000110010111010
321111200102120120001212120
4132312201222000302322
5234214012020201020
64301550313422110
7306113552225601
oct36664152006272
97450376501776
102120131022010
11748162765761
122a2a8b70a936
13124c09934451
1474887380a38
153a239714740
hex1eda1a80cba

2120131022010 has 128 divisors (see below), whose sum is σ = 5467307963904. Its totient is φ = 524252037120.

The previous prime is 2120131021991. The next prime is 2120131022057. The reversal of 2120131022010 is 102201310212.

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

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, 54041922 + ... + 54081138.

It is an arithmetic number, because the mean of its divisors is an integer number (42713343468).

Almost surely, 22120131022010 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2120131022010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2733653981952).

2120131022010 is an abundant number, since it is smaller than the sum of its proper divisors (3347176941894).

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

2120131022010 is a wasteful number, since it uses less digits than its factorization.

2120131022010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 40808.

The product of its (nonzero) digits is 48, while the sum is 15.

Adding to 2120131022010 its reverse (102201310212), we get a palindrome (2222332332222).

The spelling of 2120131022010 in words is "two trillion, one hundred twenty billion, one hundred thirty-one million, twenty-two thousand, ten".

Divisors: 1 2 3 5 6 10 15 17 30 34 51 71 85 102 142 170 213 255 355 426 510 710 1065 1207 1493 2130 2414 2986 3621 4479 6035 7242 7465 8958 12070 14930 18105 22395 25381 36210 39217 44790 50762 76143 78434 106003 117651 126905 152286 196085 212006 235302 253810 318009 380715 392170 530015 588255 636018 666689 761430 1060030 1176510 1333378 1590045 1802051 2000067 2784407 3180090 3333445 3604102 4000134 5406153 5568814 6666890 8353221 9010255 10000335 10812306 13922035 16706442 18020510 20000670 27030765 27844070 41766105 47334919 54061530 58550981 83532210 94669838 117101962 142004757 175652943 236674595 284009514 292754905 351305886 473349190 585509810 710023785 878264715 995366677 1420047570 1756529430 1990733354 2986100031 4157119651 4976833385 5972200062 8314239302 9953666770 12471358953 14930500155 20785598255 24942717906 29861000310 41571196510 62356794765 70671034067 124713589530 141342068134 212013102201 353355170335 424026204402 706710340670 1060065511005 2120131022010