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10320111041400 = 23325241139838903
BaseRepresentation
bin1001011000101101011010…
…0011010111101101111000
31100112121000021122000222200
42112023112203113231320
52323041041411311100
633540554335350200
72113413654323466
oct226132643275570
940477007560880
1010320111041400
113319809702396
1211a8134382360
1359b24a670114
142796d31bd836
1512d6b2ea3e00
hex962d68d7b78

10320111041400 has 144 divisors (see below), whose sum is σ = 35503699336560. Its totient is φ = 2684906918400.

The previous prime is 10320111041377. The next prime is 10320111041411. The reversal of 10320111041400 is 414011102301.

10320111041400 is a `hidden beast` number, since 10 + 3 + 201 + 1 + 10 + 41 + 400 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 69845652 + ... + 69993251.

It is an arithmetic number, because the mean of its divisors is an integer number (246553467615).

Almost surely, 210320111041400 is an apocalyptic number.

10320111041400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10320111041400 is an abundant number, since it is smaller than the sum of its proper divisors (25183588295160).

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

10320111041400 is a wasteful number, since it uses less digits than its factorization.

10320111041400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 139838966 (or 139838954 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

Adding to 10320111041400 its reverse (414011102301), we get a palindrome (10734122143701).

The spelling of 10320111041400 in words is "ten trillion, three hundred twenty billion, one hundred eleven million, forty-one thousand, four hundred".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 25 30 36 40 41 45 50 60 72 75 82 90 100 120 123 150 164 180 200 205 225 246 300 328 360 369 410 450 492 600 615 738 820 900 984 1025 1230 1476 1640 1800 1845 2050 2460 2952 3075 3690 4100 4920 6150 7380 8200 9225 12300 14760 18450 24600 36900 73800 139838903 279677806 419516709 559355612 699194515 839033418 1118711224 1258550127 1398389030 1678066836 2097583545 2517100254 2796778060 3356133672 3495972575 4195167090 5034200508 5593556120 5733395023 6292750635 6991945150 8390334180 10068401016 10487917725 11466790046 12585501270 13983890300 16780668360 17200185069 20975835450 22933580092 25171002540 27967780600 28666975115 31463753175 34400370138 41951670900 45867160184 50342005080 51600555207 57333950230 62927506350 68800740276 83903341800 86000925345 103201110414 114667900460 125855012700 137601480552 143334875575 172001850690 206402220828 229335800920 251710025400 258002776035 286669751150 344003701380 412804441656 430004626725 516005552070 573339502300 688007402760 860009253450 1032011104140 1146679004600 1290013880175 1720018506900 2064022208280 2580027760350 3440037013800 5160055520700 10320111041400