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31423214100 = 22352239114999
BaseRepresentation
bin11101010000111110…
…000011001000010100
310000002221022200002110
4131100332003020110
51003323320322400
622234032311020
72161460625045
oct352076031024
9100087280073
1031423214100
1112365648933
12610b6a2470
132c6a1b0c15
1417414808cc
15c3da56e50
hex750f83214

31423214100 has 144 divisors (see below), whose sum is σ = 94993920000. Its totient is φ = 8004796800.

The previous prime is 31423214093. The next prime is 31423214143. The reversal of 31423214100 is 141232413.

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, 6283401 + ... + 6288399.

It is an arithmetic number, because the mean of its divisors is an integer number (659680000).

Almost surely, 231423214100 is an apocalyptic number.

31423214100 is a gapful number since it is divisible by the number (30) 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 31423214100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47496960000).

31423214100 is an abundant number, since it is smaller than the sum of its proper divisors (63570705900).

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

31423214100 is a wasteful number, since it uses less digits than its factorization.

31423214100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5950 (or 5943 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

Adding to 31423214100 its reverse (141232413), we get a palindrome (31564446513).

The spelling of 31423214100 in words is "thirty-one billion, four hundred twenty-three million, two hundred fourteen thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 23 25 30 46 50 60 69 75 92 100 115 138 150 230 276 300 345 460 575 690 911 1150 1380 1725 1822 2300 2733 3450 3644 4555 4999 5466 6900 9110 9998 10932 13665 14997 18220 19996 20953 22775 24995 27330 29994 41906 45550 49990 54660 59988 62859 68325 74985 83812 91100 99980 104765 114977 124975 125718 136650 149970 209530 229954 249950 251436 273300 299940 314295 344931 374925 419060 459908 499900 523825 574885 628590 689862 749850 1047650 1149770 1257180 1379724 1499700 1571475 1724655 2095300 2299540 2874425 3142950 3449310 4554089 5748850 6285900 6898620 8623275 9108178 11497700 13662267 17246550 18216356 22770445 27324534 34493100 45540890 54649068 68311335 91081780 104744047 113852225 136622670 209488094 227704450 273245340 314232141 341556675 418976188 455408900 523720235 628464282 683113350 1047440470 1256928564 1366226700 1571160705 2094880940 2618601175 3142321410 5237202350 6284642820 7855803525 10474404700 15711607050 31423214100