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31020320130100 = 225271917099136403
BaseRepresentation
bin1110000110110011110110…
…01010011000010000110100
311001211111212110000202011021
413003121323022120100310
513031214103423130400
6145550312140350524
76351100310402110
oct703317312302064
9131744773022137
1031020320130100
11997a70a0194a4
12358bb42545444
13144028550abc2
1479356a40c740
1538bd9a44471a
hex1c367b298434

31020320130100 has 144 divisors (see below), whose sum is σ = 80984691648000. Its totient is φ = 10075110030720.

The previous prime is 31020320130097. The next prime is 31020320130161. The reversal of 31020320130100 is 103102302013.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 227348499 + ... + 227484901.

It is an arithmetic number, because the mean of its divisors is an integer number (562393692000).

Almost surely, 231020320130100 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 31020320130100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40492345824000).

31020320130100 is an abundant number, since it is smaller than the sum of its proper divisors (49964371517900).

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

31020320130100 is a wasteful number, since it uses less digits than its factorization.

31020320130100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 153542 (or 153535 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 16.

Adding to 31020320130100 its reverse (103102302013), we get a palindrome (31123422432113).

The spelling of 31020320130100 in words is "thirty-one trillion, twenty billion, three hundred twenty million, one hundred thirty thousand, one hundred".

Divisors: 1 2 4 5 7 10 14 19 20 25 28 35 38 50 70 76 95 100 133 140 175 190 266 350 380 475 532 665 700 950 1330 1900 2660 3325 6650 13300 17099 34198 68396 85495 119693 136403 170990 239386 272806 324881 341980 427475 478772 545612 598465 649762 682015 854950 954821 1196930 1299524 1364030 1624405 1709900 1909642 2274167 2393860 2591657 2728060 2992325 3248810 3410075 3819284 4548334 4774105 5183314 5984650 6497620 6820150 8122025 9096668 9548210 10366628 11370835 11969300 12958285 13640300 16244050 18141599 19096420 22741670 23870525 25916570 32488100 36283198 45483340 47741050 51833140 56854175 64791425 72566396 90707995 95482100 113708350 129582850 181415990 227416700 259165700 362831980 453539975 907079950 1814159900 2332354897 4664709794 9329419588 11661774485 16326484279 23323548970 32652968558 44314743043 46647097940 58308872425 65305937116 81632421395 88629486086 116617744850 163264842790 177258972172 221573715215 233235489700 310203201301 326529685580 408162106975 443147430430 620406402602 816324213950 886294860860 1107868576075 1240812805204 1551016006505 1632648427900 2215737152150 3102032013010 4431474304300 6204064026020 7755080032525 15510160065050 31020320130100