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102031020331020 = 2232511232240470363
BaseRepresentation
bin10111001100101111110010…
…101110010001000000001100
3111101021001220020101110122200
4113030233302232101000030
5101333134012201043040
61001000223105041500
730330332541125214
oct2714576256210014
9441231806343580
10102031020331020
112a568127040870
12b53a366326290
1344c163a27a571
141b2a48342b244
15bbe0dac71630
hex5ccbf2b9100c

102031020331020 has 144 divisors (see below), whose sum is σ = 352309483798272. Its totient is φ = 23659367022720.

The previous prime is 102031020330931. The next prime is 102031020331067. The reversal of 102031020331020 is 20133020130201.

102031020331020 is a `hidden beast` number, since 1 + 0 + 2 + 0 + 310 + 2 + 0 + 331 + 0 + 20 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 102031020330984 and 102031020331002.

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, 1120189642 + ... + 1120280721.

It is an arithmetic number, because the mean of its divisors is an integer number (2446593637488).

Almost surely, 2102031020331020 is an apocalyptic number.

102031020331020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102031020331020 is an abundant number, since it is smaller than the sum of its proper divisors (250278463467252).

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

102031020331020 is a wasteful number, since it uses less digits than its factorization.

102031020331020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2240470412 (or 2240470407 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 102031020331020 its reverse (20133020130201), we get a palindrome (122164040461221).

The spelling of 102031020331020 in words is "one hundred two trillion, thirty-one billion, twenty million, three hundred thirty-one thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 11 12 15 18 20 22 23 30 33 36 44 45 46 55 60 66 69 90 92 99 110 115 132 138 165 180 198 207 220 230 253 276 330 345 396 414 460 495 506 660 690 759 828 990 1012 1035 1265 1380 1518 1980 2070 2277 2530 3036 3795 4140 4554 5060 7590 9108 11385 15180 22770 45540 2240470363 4480940726 6721411089 8961881452 11202351815 13442822178 20164233267 22404703630 24645173993 26885644356 33607055445 40328466534 44809407260 49290347986 51530818349 67214110890 73935521979 80656933068 98580695972 100821166335 103061636698 123225869965 134428221780 147871043958 154592455047 201642332670 206123273396 221806565937 246451739930 257654091745 295742087916 309184910094 369677609895 403284665340 443613131874 463777365141 492903479860 515308183490 566839001839 618369820188 739355219790 772962275235 887226263748 927554730282 1030616366980 1109032829685 1133678003678 1478710439580 1545924550470 1700517005517 1855109460564 2218065659370 2267356007356 2318886825705 2834195009195 3091849100940 3401034011034 4436131318740 4637773651410 5101551016551 5668390018390 6802068022068 8502585027585 9275547302820 10203102033102 11336780036780 17005170055170 20406204066204 25507755082755 34010340110340 51015510165510 102031020331020