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31200102012300 = 223521331325559189
BaseRepresentation
bin1110001100000010101101…
…11111110101010110001100
311002110200220202100122000220
413012001112333311112030
513042140302103343200
6150205043510151340
76400063420235214
oct706012677652614
9132420822318026
1031200102012300
119a39986223531
1235ba957052550
131454206bc3660
1479c14326b244
153918bd9154a0
hex1c6056ff558c

31200102012300 has 144 divisors (see below), whose sum is σ = 97526916940320. Its totient is φ = 7655487989760.

The previous prime is 31200102012227. The next prime is 31200102012367. The reversal of 31200102012300 is 321020100213.

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

It is a self number, because there is not a number n which added to its sum of digits gives 31200102012300.

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, 11558895 + ... + 14000294.

It is an arithmetic number, because the mean of its divisors is an integer number (677270256530).

Almost surely, 231200102012300 is an apocalyptic number.

31200102012300 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

31200102012300 is an abundant number, since it is smaller than the sum of its proper divisors (66326814928020).

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

31200102012300 is a wasteful number, since it uses less digits than its factorization.

31200102012300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25559532 (or 25559525 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

Adding to 31200102012300 its reverse (321020100213), we get a palindrome (31521122112513).

The spelling of 31200102012300 in words is "thirty-one trillion, two hundred billion, one hundred two million, twelve thousand, three hundred".

Divisors: 1 2 3 4 5 6 10 12 13 15 20 25 26 30 39 50 52 60 65 75 78 100 130 150 156 195 260 300 313 325 390 626 650 780 939 975 1252 1300 1565 1878 1950 3130 3756 3900 4069 4695 6260 7825 8138 9390 12207 15650 16276 18780 20345 23475 24414 31300 40690 46950 48828 61035 81380 93900 101725 122070 203450 244140 305175 406900 610350 1220700 25559189 51118378 76677567 102236756 127795945 153355134 255591890 306710268 332269457 383387835 511183780 638979725 664538914 766775670 996808371 1277959450 1329077828 1533551340 1661347285 1916939175 1993616742 2555918900 3322694570 3833878350 3987233484 4984041855 6645389140 7667756700 8000026157 8306736425 9968083710 16000052314 16613472850 19936167420 24000078471 24920209275 32000104628 33226945700 40000130785 48000156942 49840418550 80000261570 96000313884 99680837100 104000340041 120000392355 160000523140 200000653925 208000680082 240000784710 312001020123 400001307850 416001360164 480001569420 520001700205 600001961775 624002040246 800002615700 1040003400410 1200003923550 1248004080492 1560005100615 2080006800820 2400007847100 2600008501025 3120010201230 5200017002050 6240020402460 7800025503075 10400034004100 15600051006150 31200102012300