Search a number
-
+
1202110294872 = 2331914959929537
BaseRepresentation
bin10001011111100011010…
…110110110101101011000
311020220212010121012022210
4101133203112312231120
5124143410213413442
62320124123315120
7152564261625144
oct21374326665530
94226763535283
101202110294872
114238a2a16943
12174b8837baa0
138948786b6b6
144227a8d4224
152140a0d819c
hex117e35b6b58

1202110294872 has 128 divisors (see below), whose sum is σ = 3190104000000. Its totient is φ = 376423796736.

The previous prime is 1202110294859. The next prime is 1202110294937. The reversal of 1202110294872 is 2784920112021.

It is a super-2 number, since 2×12021102948722 (a number of 25 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 1202110294872.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 40683688 + ... + 40713224.

It is an arithmetic number, because the mean of its divisors is an integer number (24922687500).

Almost surely, 21202110294872 is an apocalyptic number.

1202110294872 is a gapful number since it is divisible by the number (12) 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 1202110294872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1595052000000).

1202110294872 is an abundant number, since it is smaller than the sum of its proper divisors (1987993705128).

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

1202110294872 is a wasteful number, since it uses less digits than its factorization.

1202110294872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30313 (or 30309 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 39.

The spelling of 1202110294872 in words is "one trillion, two hundred two billion, one hundred ten million, two hundred ninety-four thousand, eight hundred seventy-two".

Divisors: 1 2 3 4 6 8 12 19 24 38 57 76 114 149 152 228 298 447 456 596 599 894 1192 1198 1788 1797 2396 2831 3576 3594 4792 5662 7188 8493 11324 11381 14376 16986 22648 22762 29537 33972 34143 45524 59074 67944 68286 88611 89251 91048 118148 136572 177222 178502 236296 267753 273144 354444 357004 535506 561203 708888 714008 1071012 1122406 1683609 1695769 2142024 2244812 3367218 3391538 4401013 4489624 5087307 6734436 6783076 8802026 10174614 13203039 13468872 13566152 17604052 17692663 20349228 26406078 35208104 35385326 40698456 52812156 53077989 70770652 83619247 105624312 106155978 141541304 167238494 212311956 250857741 334476988 336160597 424623912 501715482 668953976 672321194 1003430964 1008481791 1344642388 2006861928 2016963582 2636206787 2689284776 4033927164 5272413574 7908620361 8067854328 10544827148 15817240722 21089654296 31634481444 50087928953 63268962888 100175857906 150263786859 200351715812 300527573718 400703431624 601055147436 1202110294872